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210100010092 = 227219137411809
BaseRepresentation
bin1100001110101011101…
…1111011110001101100
3202002022020020100200021
43003222323323301230
511420241100310332
6240304004211524
721115321422400
oct3035273736154
9662266210607
10210100010092
1181114a84285
1234876099ba4
1316a739548cb
14a251639100
1556e9ed9c97
hex30eaefbc6c

210100010092 has 72 divisors (see below), whose sum is σ = 453501644400. Its totient is φ = 84680902656.

The previous prime is 210100010053. The next prime is 210100010147. The reversal of 210100010092 is 290010001012.

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, 304284 + ... + 716092.

It is an arithmetic number, because the mean of its divisors is an integer number (6298633950).

Almost surely, 2210100010092 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 210100010092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226750822200).

210100010092 is an abundant number, since it is smaller than the sum of its proper divisors (243401634308).

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

210100010092 is a wasteful number, since it uses less digits than its factorization.

210100010092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411983 (or 411974 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 210100010092 in words is "two hundred ten billion, one hundred million, ten thousand, ninety-two".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 137 196 266 274 532 548 931 959 1862 1918 2603 3724 3836 5206 6713 10412 13426 18221 26852 36442 72884 127547 255094 411809 510188 823618 1647236 2882663 5765326 7824371 11530652 15648742 20178641 31297484 40357282 54770597 56417833 80714564 109541194 112835666 219082388 225671332 383394179 394924831 766788358 789849662 1071938827 1533576716 1579699324 2143877654 2764473817 4287755308 5528947634 7503571789 11057895268 15007143578 30014287156 52525002523 105050005046 210100010092