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100681033344 = 273976926839
BaseRepresentation
bin101110111000100001…
…1101010011010000000
3100121212122010102100220
41131301003222122000
53122143321031334
6114130251543040
710162653443313
oct1356103523200
9317778112326
10100681033344
1139775900581
1217619a5aa80
13965693ab58
144c3169c97a
152943e12449
hex17710ea680

100681033344 has 64 divisors (see below), whose sum is σ = 267471336000. Its totient is φ = 33555658752.

The previous prime is 100681033331. The next prime is 100681033361. The reversal of 100681033344 is 443330186001.

100681033344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3737877 + ... + 3764715.

It is an arithmetic number, because the mean of its divisors is an integer number (4179239625).

Almost surely, 2100681033344 is an apocalyptic number.

It is an amenable number.

100681033344 is an abundant number, since it is smaller than the sum of its proper divisors (166790302656).

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

100681033344 is an equidigital number, since it uses as much as digits as its factorization.

100681033344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36625 (or 36613 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 100681033344 in words is "one hundred billion, six hundred eighty-one million, thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 9769 19538 26839 29307 39076 53678 58614 78152 80517 107356 117228 156304 161034 214712 234456 312608 322068 429424 468912 625216 644136 858848 937824 1250432 1288272 1717696 1875648 2576544 3435392 3751296 5153088 10306176 262190191 524380382 786570573 1048760764 1573141146 2097521528 3146282292 4195043056 6292564584 8390086112 12585129168 16780172224 25170258336 33560344448 50340516672 100681033344