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10193082100 = 2252313288091
BaseRepresentation
bin10010111111000111…
…00001011011110100
3222022101002012222021
421133203201123310
5131333412111400
64403241042524
7510410524345
oct113743413364
928271065867
1010193082100
1143608024a3
121b85786444
13c659c1a36
146c9a640cc
153e9cec71a
hex25f8e16f4

10193082100 has 36 divisors (see below), whose sum is σ = 22832510848. Its totient is φ = 3945708000.

The previous prime is 10193082091. The next prime is 10193082101. The reversal of 10193082100 is 128039101.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10193082101) by changing a digit.

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, 1640946 + ... + 1647145.

Almost surely, 210193082100 is an apocalyptic number.

10193082100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10193082100 is an abundant number, since it is smaller than the sum of its proper divisors (12639428748).

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

10193082100 is a wasteful number, since it uses less digits than its factorization.

10193082100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288136 (or 3288129 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 10193082100 in words is "ten billion, one hundred ninety-three million, eighty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 3288091 6576182 13152364 16440455 32880910 65761820 82202275 101930821 164404550 203861642 328809100 407723284 509654105 1019308210 2038616420 2548270525 5096541050 10193082100