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10202200992 = 253311808103
BaseRepresentation
bin10011000000001100…
…10011101110100000
3222100000020111202000
421200012103232200
5131343230412432
64404204324000
7510551164134
oct114006235640
928300214660
1010202200992
114365970675
121b88843600
13c67865529
146cad593c4
153ea9ee57c
hex260193ba0

10202200992 has 48 divisors (see below), whose sum is σ = 29756422080. Its totient is φ = 3400733376.

The previous prime is 10202200949. The next prime is 10202201033. The reversal of 10202200992 is 29900220201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5903188 + ... + 5904915.

It is an arithmetic number, because the mean of its divisors is an integer number (619925460).

Almost surely, 210202200992 is an apocalyptic number.

10202200992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10202200992 is an abundant number, since it is smaller than the sum of its proper divisors (19554221088).

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

10202200992 is a wasteful number, since it uses less digits than its factorization.

10202200992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11808122 (or 11808108 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10202200992 in words is "ten billion, two hundred two million, two hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 11808103 23616206 35424309 47232412 70848618 94464824 106272927 141697236 188929648 212545854 283394472 318818781 377859296 425091708 566788944 637637562 850183416 1133577888 1275275124 1700366832 2550550248 3400733664 5101100496 10202200992