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10204042032 = 243270861403
BaseRepresentation
bin10011000000011010…
…10101001100110000
3222100010201001011200
421200031111030300
5131344213321112
64404312011200
7510602632452
oct114015251460
928303631150
1010204042032
114366a08898
121b89390b00
13c6805b4c2
146cb2b82d2
153eac64cdc
hex260355330

10204042032 has 30 divisors (see below), whose sum is σ = 28557145812. Its totient is φ = 3401347296.

The previous prime is 10204041989. The next prime is 10204042087. The reversal of 10204042032 is 23024040201.

10204042032 is a `hidden beast` number, since 10 + 204 + 0 + 420 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10204041996 and 10204042014.

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 5 ways as a sum of consecutive naturals, for example, 35430558 + ... + 35430845.

Almost surely, 210204042032 is an apocalyptic number.

10204042032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10204042032 is an abundant number, since it is smaller than the sum of its proper divisors (18353103780).

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

10204042032 is a wasteful number, since it uses less digits than its factorization.

10204042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70861417 (or 70861408 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10204042032 its reverse (23024040201), we get a palindrome (33228082233).

The spelling of 10204042032 in words is "ten billion, two hundred four million, forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 70861403 141722806 212584209 283445612 425168418 566891224 637752627 850336836 1133782448 1275505254 1700673672 2551010508 3401347344 5102021016 10204042032