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10010323113102 = 23213149393173037
BaseRepresentation
bin1001000110101011010111…
…0000001101010010001110
31022102222101121222201210200
42101222311300031102032
52303002120204104402
633142402353114330
72052136065352044
oct221526560152216
938388347881720
1010010323113102
11320a399479754
121158098b589a6
13577c7aa76b80
14268706160394
151255d137821c
hex91ab5c0d48e

10010323113102 has 96 divisors (see below), whose sum is σ = 23520485570400. Its totient is φ = 3058607450880.

The previous prime is 10010323113101. The next prime is 10010323113127. The reversal of 10010323113102 is 20131132301001.

10010323113102 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 32 + 311 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010323113101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137021728 + ... + 137094764.

It is an arithmetic number, because the mean of its divisors is an integer number (245005058025).

Almost surely, 210010323113102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010323113102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760242785200).

10010323113102 is an abundant number, since it is smaller than the sum of its proper divisors (13510162457298).

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

10010323113102 is a wasteful number, since it uses less digits than its factorization.

10010323113102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77138 (or 77135 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10010323113102 its reverse (20131132301001), we get a palindrome (30141455414103).

The spelling of 10010323113102 in words is "ten trillion, ten billion, three hundred twenty-three million, one hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 149 234 298 447 894 1341 1937 2682 3874 3931 5811 7862 11622 11793 17433 23586 34866 35379 51103 70758 73037 102206 146074 153309 219111 306618 438222 459927 585719 657333 919854 949481 1171438 1314666 1757157 1898962 2848443 3514314 5271471 5696886 7614347 8545329 10542942 10882513 15228694 17090658 21765026 22843041 32647539 45686082 65295078 68529123 97942617 137058246 141472669 195885234 282945338 287108447 424418007 574216894 848836014 861325341 1273254021 1722650682 2546508042 2583976023 3732409811 5167952046 7464819622 11197229433 22394458866 33591688299 42779158603 67183376598 85558317206 128337475809 256674951618 385012427427 556129061839 770024854854 1112258123678 1668387185517 3336774371034 5005161556551 10010323113102