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100102311340 = 22510766916991
BaseRepresentation
bin101110100111010010…
…0000000110110101100
3100120101022011022000121
41131032210000312230
53120002142430330
6113553015534324
710142425415203
oct1351644006654
9316338138017
10100102311340
11394a9166129
121749808a3a4
139593a822b5
144bb889423a
15290d1e917a
hex174e900dac

100102311340 has 48 divisors (see below), whose sum is σ = 212241544704. Its totient is φ = 39655108800.

The previous prime is 100102311289. The next prime is 100102311359. The reversal of 100102311340 is 43113201001.

It is a super-2 number, since 2×1001023113402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14315245 + ... + 14322235.

It is an arithmetic number, because the mean of its divisors is an integer number (4421698848).

Almost surely, 2100102311340 is an apocalyptic number.

100102311340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102311340 is an abundant number, since it is smaller than the sum of its proper divisors (112139233364).

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

100102311340 is a wasteful number, since it uses less digits than its factorization.

100102311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13798 (or 13796 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100102311340 its reverse (43113201001), we get a palindrome (143215512341).

The spelling of 100102311340 in words is "one hundred billion, one hundred two million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 107 214 428 535 1070 2140 6691 6991 13382 13982 26764 27964 33455 34955 66910 69910 133820 139820 715937 748037 1431874 1496074 2863748 2992148 3579685 3740185 7159370 7480370 14318740 14960740 46776781 93553562 187107124 233883905 467767810 935535620 5005115567 10010231134 20020462268 25025577835 50051155670 100102311340