Search a number
-
+
312203020212304 = 2413109359162123663
BaseRepresentation
bin100011011111100100110111…
…0000111100001100001010000
31111221102022120021101001112221
41012333021232013201201100
5311410113241133243204
63024000030522030424
7122521631612024224
oct10677115607414120
91457368507331487
10312203020212304
1190528614880751
122b023053948414
1310528806a54030
1457149c7680784
1526161b4e3b654
hex11bf26e1e1850

312203020212304 has 160 divisors (see below), whose sum is σ = 659665728691200. Its totient is φ = 142280204175360.

The previous prime is 312203020212277. The next prime is 312203020212331. The reversal of 312203020212304 is 403212020302213.

It is an interprime number because it is at equal distance from previous prime (312203020212277) and next prime (312203020212331).

It is a super-2 number, since 2×3122030202123042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13193709177 + ... + 13193732839.

It is an arithmetic number, because the mean of its divisors is an integer number (4122910804320).

Almost surely, 2312203020212304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312203020212304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329832864345600).

312203020212304 is an abundant number, since it is smaller than the sum of its proper divisors (347462708478896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312203020212304 is a wasteful number, since it uses less digits than its factorization.

312203020212304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25773 (or 25767 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 312203020212304 its reverse (403212020302213), we get a palindrome (715415040514517).

The spelling of 312203020212304 in words is "three hundred twelve trillion, two hundred three billion, twenty million, two hundred twelve thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 109 208 218 359 436 718 872 1417 1436 1621 1744 2834 2872 3242 4667 5668 5744 6484 9334 11336 12968 18668 21073 22672 23663 25936 37336 39131 42146 47326 74672 78262 84292 94652 156524 168584 176689 189304 307619 313048 337168 353378 378608 508703 581939 615238 626096 706756 1017406 1163878 1230476 1413512 2034812 2296957 2327756 2460952 2579267 2827024 4069624 4593914 4655512 4921904 5158534 7565207 8139248 8495017 9187828 9311024 10317068 15130414 16990034 18375656 20634136 30260828 33530471 33980068 36751312 38357723 41268272 60521656 63431351 67060942 67960136 76715446 110435221 121043312 126862702 134121884 135920272 153430892 220870442 253725404 268243768 306861784 441740884 498650399 507450808 536487536 613723568 824607563 883481768 925956853 997300798 1014901616 1649215126 1766963536 1851913706 1994601596 3298430252 3703827412 3989203192 4180991807 6596860504 7407654824 7978406384 8361983614 12037439089 13193721008 13770422557 14815309648 16723967228 24074878178 27540845114 33447934456 48149756356 54352893491 55081690228 66895868912 96299512712 108705786982 110163380456 179015493241 192599025424 217411573964 220326760912 358030986482 434823147928 716061972964 869646295856 1432123945928 1500976058713 2864247891856 3001952117426 6003904234852 12007808469704 19512688763269 24015616939408 39025377526538 78050755053076 156101510106152 312203020212304