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10032324102 = 23219532931889
BaseRepresentation
bin10010101011111100…
…10001111000000110
3221220011120212110100
421111332101320012
5131021233332402
64335255304530
7503416230213
oct112576217006
927804525410
1010032324102
114288a92649
121b3b97b146
13c3b5c7268
146b2578b0a
153dab4571c
hex255f91e06

10032324102 has 96 divisors (see below), whose sum is σ = 23404399200. Its totient is φ = 3096078336.

The previous prime is 10032324089. The next prime is 10032324131. The reversal of 10032324102 is 20142323001.

10032324102 is a `hidden beast` number, since 100 + 323 + 241 + 0 + 2 = 666.

10032324102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5309974 + ... + 5311862.

It is an arithmetic number, because the mean of its divisors is an integer number (243795825).

Almost surely, 210032324102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032324102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11702199600).

10032324102 is an abundant number, since it is smaller than the sum of its proper divisors (13372075098).

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

10032324102 is a wasteful number, since it uses less digits than its factorization.

10032324102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10032324102 its reverse (20142323001), we get a palindrome (30174647103).

The spelling of 10032324102 in words is "ten billion, thirty-two million, three hundred twenty-four thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 38 53 57 106 114 159 171 293 318 342 477 586 879 954 1007 1758 1889 2014 2637 3021 3778 5274 5567 5667 6042 9063 11134 11334 15529 16701 17001 18126 31058 33402 34002 35891 46587 50103 71782 93174 100117 100206 107673 139761 200234 215346 279522 295051 300351 323019 553477 590102 600702 646038 885153 901053 1106954 1660431 1770306 1802106 1902223 2655459 3320862 3804446 4981293 5310918 5706669 9962586 10516063 11413338 17120007 21032126 29334281 31548189 34240014 58668562 63096378 88002843 94644567 176005686 189289134 264008529 528017058 557351339 1114702678 1672054017 3344108034 5016162051 10032324102