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102332122010322 = 23193777331385273
BaseRepresentation
bin10111010001001000001101…
…110010000001001011010010
3111102022212002112022121021220
4113101020031302001023102
5101403102141213312242
61001350421115025510
730361152244146561
oct2721101562011322
9442285075277256
10102332122010322
112a67389a09a026
12b58879873b296
134513b543c72c9
141b3ac889c7bd8
15bc6d5eee8bec
hex5d120dc812d2

102332122010322 has 64 divisors (see below), whose sum is σ = 221544882933120. Its totient is φ = 31401341259264.

The previous prime is 102332122010257. The next prime is 102332122010333. The reversal of 102332122010322 is 223010221233201.

It is a junction number, because it is equal to n+sod(n) for n = 102332122010292 and 102332122010301.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12432123 + ... + 18953150.

It is an arithmetic number, because the mean of its divisors is an integer number (3461638795830).

Almost surely, 2102332122010322 is an apocalyptic number.

102332122010322 is an abundant number, since it is smaller than the sum of its proper divisors (119212760922798).

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

102332122010322 is a wasteful number, since it uses less digits than its factorization.

102332122010322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31386107.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102332122010322 its reverse (223010221233201), we get a palindrome (325342343243523).

The spelling of 102332122010322 in words is "one hundred two trillion, three hundred thirty-two billion, one hundred twenty-two million, ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 19 37 38 57 74 111 114 222 703 773 1406 1546 2109 2319 4218 4638 14687 28601 29374 44061 57202 85803 88122 171606 543419 1086838 1630257 3260514 31385273 62770546 94155819 188311638 596320187 1161255101 1192640374 1788960561 2322510202 3483765303 3577921122 6967530606 22063846919 24260816029 44127693838 48521632058 66191540757 72782448087 132383081514 145564896174 460955504551 897650193073 921911009102 1382866513653 1795300386146 2692950579219 2765733027306 5385901158438 17055353668387 34110707336774 51166061005161 102332122010322