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106310546220732 = 223717103722787973
BaseRepresentation
bin11000001011000001011010…
…010101111110011010111100
3111221102012002202100122000220
4120023001122111332122330
5102413242444313030412
61014034220221021340
731251453304032240
oct3013013225763274
9457365082318026
10106310546220732
113096805a916627
12bb0b8429b4850
13474207020b029
141c3765a650420
15c455abc1c68c
hex60b05a57e6bc

106310546220732 has 96 divisors (see below), whose sum is σ = 303085235561472. Its totient is φ = 28310159287296.

The previous prime is 106310546220731. The next prime is 106310546220737. The reversal of 106310546220732 is 237022645013601.

It is a super-2 number, since 2×1063105462207322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106310546220731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361246903 + ... + 361541070.

It is an arithmetic number, because the mean of its divisors is an integer number (3157137870432).

Almost surely, 2106310546220732 is an apocalyptic number.

106310546220732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106310546220732 is an abundant number, since it is smaller than the sum of its proper divisors (196774689340740).

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

106310546220732 is a wasteful number, since it uses less digits than its factorization.

106310546220732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722788107 (or 722788105 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 106310546220732 in words is "one hundred six trillion, three hundred ten billion, five hundred forty-six million, two hundred twenty thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 103 119 204 206 238 309 357 412 476 618 714 721 1236 1428 1442 1751 2163 2884 3502 4326 5253 7004 8652 10506 12257 21012 24514 36771 49028 73542 147084 722787973 1445575946 2168363919 2891151892 4336727838 5059515811 8673455676 10119031622 12287395541 15178547433 20238063244 24574791082 30357094866 36862186623 49149582164 60714189732 73724373246 74447161219 86011768787 147448746492 148894322438 172023537574 223341483657 258035306361 297788644876 344047075148 446682967314 516070612722 521130128533 893365934628 1032141225444 1042260257066 1265601740723 1563390385599 2084520514132 2531203481446 3126780771198 3796805222169 5062406962892 6253561542396 7593610444338 8859212185061 15187220888676 17718424370122 26577636555183 35436848740244 53155273110366 106310546220732