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100302330312 = 23324241328481
BaseRepresentation
bin101110101101001111…
…1000001100111001000
3100120220020112022110200
41131122133001213020
53120404344032222
6114024523012200
710150404511662
oct1353237014710
9316806468420
10100302330312
11395a1061368
121753306a060
1395c6345112
144bd727d532
152920a58eac
hex175a7c19c8

100302330312 has 48 divisors (see below), whose sum is σ = 271717025580. Its totient is φ = 33426124800.

The previous prime is 100302330299. The next prime is 100302330353. The reversal of 100302330312 is 213033203001.

100302330312 is a `hidden beast` number, since 1 + 0 + 0 + 302 + 330 + 31 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92103752196 + 8198578116 = 303486^2 + 90546^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 141112 + ... + 469592.

Almost surely, 2100302330312 is an apocalyptic number.

100302330312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100302330312 is an abundant number, since it is smaller than the sum of its proper divisors (171414695268).

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

100302330312 is a wasteful number, since it uses less digits than its factorization.

100302330312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332734 (or 332727 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100302330312 its reverse (213033203001), we get a palindrome (313335533313).

The spelling of 100302330312 in words is "one hundred billion, three hundred two million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4241 8482 12723 16964 25446 33928 38169 50892 76338 101784 152676 305352 328481 656962 985443 1313924 1970886 2627848 2956329 3941772 5912658 7883544 11825316 23650632 1393087921 2786175842 4179263763 5572351684 8358527526 11144703368 12537791289 16717055052 25075582578 33434110104 50151165156 100302330312