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102000313096 = 231116346715227
BaseRepresentation
bin101111011111110110…
…0010100001100001000
3100202021120120202221221
41132333230110030020
53132344040004341
6114505220411424
710240443233053
oct1367754241410
9322246522857
10102000313096
113a292576a20
1217927846b74
139807066466
144d1899ba9a
1529beb5eed1
hex17bfb14308

102000313096 has 64 divisors (see below), whose sum is σ = 210380302080. Its totient is φ = 45977647680.

The previous prime is 102000313073. The next prime is 102000313117. The reversal of 102000313096 is 690313000201.

It is a self number, because there is not a number n which added to its sum of digits gives 102000313096.

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, 6691035 + ... + 6706261.

It is an arithmetic number, because the mean of its divisors is an integer number (3287192220).

Almost surely, 2102000313096 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 102000313096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105190151040).

102000313096 is an abundant number, since it is smaller than the sum of its proper divisors (108379988984).

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

102000313096 is a wasteful number, since it uses less digits than its factorization.

102000313096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15874 (or 15870 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 102000313096 its reverse (690313000201), we get a palindrome (792313313297).

The spelling of 102000313096 in words is "one hundred two billion, three hundred thirteen thousand, ninety-six".

Divisors: 1 2 4 8 11 22 44 88 163 326 467 652 934 1304 1793 1868 3586 3736 5137 7172 10274 14344 15227 20548 30454 41096 60908 76121 121816 152242 167497 304484 334994 608968 669988 837331 1339976 1674662 2482001 3349324 4964002 6698648 7111009 9928004 14222018 19856008 27302011 28444036 54604022 56888072 78221099 109208044 156442198 218416088 312884396 625768792 1159094467 2318188934 4636377868 9272755736 12750039137 25500078274 51000156548 102000313096