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120101213310 = 235131983195277
BaseRepresentation
bin110111111011010010…
…1110001010001111110
3102111000001121210001120
41233312211301101332
53431431402311220
6131101305451410
711451135316641
oct1576645612176
9374001553046
10120101213310
1146a31005191
121b3397a0b66
13b4301641c0
145b54971a58
1531cdce9a40
hex1bf697147e

120101213310 has 128 divisors (see below), whose sum is σ = 330691576320. Its totient is φ = 27669828096.

The previous prime is 120101213303. The next prime is 120101213327. The reversal of 120101213310 is 13312101021.

It is a happy number.

It is a super-2 number, since 2×1201012133102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120101213310.

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 63 ways as a sum of consecutive naturals, for example, 517392 + ... + 712668.

It is an arithmetic number, because the mean of its divisors is an integer number (2583527940).

Almost surely, 2120101213310 is an apocalyptic number.

120101213310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120101213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165345788160).

120101213310 is an abundant number, since it is smaller than the sum of its proper divisors (210590363010).

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

120101213310 is a wasteful number, since it uses less digits than its factorization.

120101213310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195402.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 120101213310 its reverse (13312101021), we get a palindrome (133413314331).

The spelling of 120101213310 in words is "one hundred twenty billion, one hundred one million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 83 95 114 130 166 190 195 247 249 285 390 415 494 498 570 741 830 1079 1235 1245 1482 1577 2158 2470 2490 3154 3237 3705 4731 5395 6474 7410 7885 9462 10790 15770 16185 20501 23655 32370 41002 47310 61503 102505 123006 195277 205010 307515 390554 585831 615030 976385 1171662 1952770 2538601 2929155 3710263 5077202 5858310 7420526 7615803 11130789 12693005 15231606 16207991 18551315 22261578 25386010 32415982 37102630 38079015 48233419 48623973 55653945 76158030 81039955 96466838 97247946 111307890 144700257 162079910 210703883 241167095 243119865 289400514 307951829 421407766 482334190 486239730 615903658 632111649 723501285 923855487 1053519415 1264223298 1447002570 1539759145 1847710974 2107038830 3079518290 3160558245 4003373777 4619277435 6321116490 8006747554 9238554870 12010121331 20016868885 24020242662 40033737770 60050606655 120101213310