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102322103312 = 241113412910831
BaseRepresentation
bin101111101001011011…
…1110110010000010000
3100210010000002102011002
41133102313312100100
53134023424301222
6115001153441132
710251431346002
oct1372267662020
9323100072132
10102322103312
113a438183750
12179b75701a8
139858923480
144d49604372
1529dd025392
hex17d2df6410

102322103312 has 80 divisors (see below), whose sum is σ = 232985921280. Its totient is φ = 42917990400.

The previous prime is 102322103309. The next prime is 102322103333. The reversal of 102322103312 is 213301223201.

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 15 ways as a sum of consecutive naturals, for example, 9441737 + ... + 9452567.

It is an arithmetic number, because the mean of its divisors is an integer number (2912324016).

Almost surely, 2102322103312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102322103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116492960640).

102322103312 is an abundant number, since it is smaller than the sum of its proper divisors (130663817968).

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

102322103312 is a wasteful number, since it uses less digits than its factorization.

102322103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14992 (or 14986 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102322103312 its reverse (213301223201), we get a palindrome (315623326513).

The spelling of 102322103312 in words is "one hundred two billion, three hundred twenty-two million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 4129 8258 10831 16516 21662 33032 43324 45419 53677 66064 86648 90838 107354 119141 140803 173296 181676 214708 238282 281606 363352 429416 476564 563212 590447 726704 858832 953128 1126424 1180894 1548833 1906256 2252848 2361788 3097666 4723576 6195332 9447152 12390664 24781328 44721199 89442398 178884796 357769592 491933189 581375587 715539184 983866378 1162751174 1967732756 2325502348 3935465512 4651004696 6395131457 7870931024 9302009392 12790262914 25580525828 51161051656 102322103312