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102310213110 = 23571783449769
BaseRepresentation
bin101111101001000101…
…0011111010111110110
3100210002011201022212020
41133102022133113312
53134012403304420
6115000050534010
710251225314460
oct1372212372766
9323064638766
10102310213110
113a4314a2436
12179b3597306
13985631c451
144d47bcb130
1529dbe77340
hex17d229f5f6

102310213110 has 256 divisors, whose sum is σ = 301771008000. Its totient is φ = 21667774464.

The previous prime is 102310213079. The next prime is 102310213133. The reversal of 102310213110 is 11312013201.

It is a happy number.

It is a super-2 number, since 2×1023102131102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102310213110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133042806 + ... + 133043574.

It is an arithmetic number, because the mean of its divisors is an integer number (1178793000).

Almost surely, 2102310213110 is an apocalyptic number.

102310213110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102310213110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150885504000).

102310213110 is an abundant number, since it is smaller than the sum of its proper divisors (199460794890).

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

102310213110 is a wasteful number, since it uses less digits than its factorization.

102310213110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102310213110 its reverse (11312013201), we get a palindrome (113622226311).

The spelling of 102310213110 in words is "one hundred two billion, three hundred ten million, two hundred thirteen thousand, one hundred ten".