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102250351032 = 23319173330431
BaseRepresentation
bin101111100111010011…
…0001000100110111000
3100202221000002000112020
41133032212020212320
53133402042213112
6114550111514440
710246600433454
oct1371646104670
9322830060466
10102250351032
113a400726145
1217997528a20
139846ac01bb
144d3dc87664
1529d6aa048c
hex17ce9889b8

102250351032 has 64 divisors (see below), whose sum is σ = 257323253760. Its totient is φ = 33857635200.

The previous prime is 102250351031. The next prime is 102250351069. The reversal of 102250351032 is 230153052201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102250350993 and 102250351011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102250351031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3344857 + ... + 3375287.

It is an arithmetic number, because the mean of its divisors is an integer number (4020675840).

Almost surely, 2102250351032 is an apocalyptic number.

102250351032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102250351032 is an abundant number, since it is smaller than the sum of its proper divisors (155072902728).

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

102250351032 is a wasteful number, since it uses less digits than its factorization.

102250351032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31364 (or 31360 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 102250351032 in words is "one hundred two billion, two hundred fifty million, three hundred fifty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 191 382 573 733 764 1146 1466 1528 2199 2292 2932 4398 4584 5864 8796 17592 30431 60862 91293 121724 140003 182586 243448 280006 365172 420009 560012 730344 840018 1120024 1680036 3360072 5812321 11624642 17436963 22305923 23249284 34873926 44611846 46498568 66917769 69747852 89223692 133835538 139495704 178447384 267671076 535342152 4260431293 8520862586 12781293879 17041725172 25562587758 34083450344 51125175516 102250351032