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102310212004 = 227111350235087
BaseRepresentation
bin101111101001000101…
…0011111000110100100
3100210002011201021100021
41133102022133012210
53134012403241004
6115000050524524
710251225311320
oct1372212370644
9323064637307
10102310212004
113a4314a1620
12179b3596744
13985631bab0
144d47bca980
1529dbe76d54
hex17d229f1a4

102310212004 has 96 divisors (see below), whose sum is σ = 240488349696. Its totient is φ = 36780324480.

The previous prime is 102310211897. The next prime is 102310212013. The reversal of 102310212004 is 400212013201.

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, 20109549 + ... + 20114635.

It is an arithmetic number, because the mean of its divisors is an integer number (2505086976).

Almost surely, 2102310212004 is an apocalyptic number.

102310212004 is a gapful number since it is divisible by the number (14) 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 102310212004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120244174848).

102310212004 is an abundant number, since it is smaller than the sum of its proper divisors (138178137692).

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

102310212004 is a wasteful number, since it uses less digits than its factorization.

102310212004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10145 (or 10143 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102310212004 its reverse (400212013201), we get a palindrome (502522225205).

The spelling of 102310212004 in words is "one hundred two billion, three hundred ten million, two hundred twelve thousand, four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 5023 5087 10046 10174 20092 20348 35161 35609 55253 55957 65299 66131 70322 71218 110506 111914 130598 132262 140644 142436 221012 223828 261196 264524 386771 391699 457093 462917 718289 727441 773542 783398 914186 925834 1436578 1454882 1547084 1566796 1828372 1851668 2873156 2909764 5028023 5092087 10056046 10184174 20112092 20368348 25552001 51104002 102208004 178864007 281072011 332176013 357728014 562144022 664352026 715456028 1124288044 1328704052 1967504077 2325232091 3653936143 3935008154 4650464182 7307872286 7870016308 9300928364 14615744572 25577553001 51155106002 102310212004