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102323122320320 = 26511531936194591
BaseRepresentation
bin10111010000111111110101…
…010110111011001111000000
3111102021222212022210222111222
4113100333311112323033000
5101402430223303222240
61001342332104254212
730360413234066366
oct2720776526731700
9442258768728458
10102323122320320
112a66aaa0a9a7a0
12b586aa6771368
13451304ba25155
141b3a673653636
15bc69d4d7deb5
hex5d0ff55bb3c0

102323122320320 has 448 divisors, whose sum is σ = 272725204469760. Its totient is φ = 36250642022400.

The previous prime is 102323122320229. The next prime is 102323122320343. The reversal of 102323122320320 is 23023221323201.

It is a super-2 number, since 2×1023231223203202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102323122320320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22287761225 + ... + 22287765815.

It is an arithmetic number, because the mean of its divisors is an integer number (608761617120).

Almost surely, 2102323122320320 is an apocalyptic number.

102323122320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102323122320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136362602234880).

102323122320320 is an abundant number, since it is smaller than the sum of its proper divisors (170402082149440).

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

102323122320320 is a wasteful number, since it uses less digits than its factorization.

102323122320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 102323122320320 its reverse (23023221323201), we get a palindrome (125346343643521).

The spelling of 102323122320320 in words is "one hundred two trillion, three hundred twenty-three billion, one hundred twenty-two million, three hundred twenty thousand, three hundred twenty".