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100212212010204 = 223271119593551903
BaseRepresentation
bin10110110010010001111001…
…010011001000110011011100
3111010211012020100122121110100
4112302101321103020303130
5101113334102233311304
6553044504334341100
730052044014361450
oct2662217123106334
9433735210577410
10100212212010204
1129a26840175398
12b2a596b05a790
1343bbc814ca758
141aa6422b3c660
15b8bb39de2439
hex5b24794c8cdc

100212212010204 has 72 divisors (see below), whose sum is σ = 289504613099520. Its totient is φ = 28631796776352.

The previous prime is 100212212010161. The next prime is 100212212010241. The reversal of 100212212010204 is 402010212212001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26437717 + ... + 29989619.

It is an arithmetic number, because the mean of its divisors is an integer number (4020897404160).

Almost surely, 2100212212010204 is an apocalyptic number.

100212212010204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100212212010204 is an abundant number, since it is smaller than the sum of its proper divisors (189292401089316).

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

100212212010204 is a wasteful number, since it uses less digits than its factorization.

100212212010204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663879 (or 3663874 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100212212010204 its reverse (402010212212001), we get a palindrome (502222424222205).

The spelling of 100212212010204 in words is "one hundred trillion, two hundred twelve billion, two hundred twelve million, ten thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 111959 223918 335877 447836 671754 783713 1007631 1343508 1567426 2015262 2351139 3134852 3551903 4030524 4702278 7053417 7103806 9404556 10655709 14106834 14207612 21311418 24863321 28213668 31967127 42622836 49726642 63934254 74589963 99453284 127868508 149179926 223769889 298359852 447539778 895079556 397667507977 795335015954 1193002523931 1590670031908 2386005047862 2783672555839 3579007571793 4772010095724 5567345111678 7158015143586 8351017667517 11134690223356 14316030287172 16702035335034 25053053002551 33404070670068 50106106005102 100212212010204