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204015345100 = 225272910050017
BaseRepresentation
bin1011111000000001000…
…0110001110111001100
3201111121011212100110121
42332000100301313030
511320310412020400
6233420124514324
720511455551330
oct2760020616714
9644534770417
10204015345100
1179582386426
12336583ab9a4
1316314184318
149c354ab7c0
155490c2b21a
hex2f80431dcc

204015345100 has 72 divisors (see below), whose sum is σ = 523404937440. Its totient is φ = 67536107520.

The previous prime is 204015345089. The next prime is 204015345103. The reversal of 204015345100 is 1543510402.

It is a happy number.

It is a super-2 number, since 2×2040153451002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (204015345103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5004709 + ... + 5045308.

It is an arithmetic number, because the mean of its divisors is an integer number (7269513020).

Almost surely, 2204015345100 is an apocalyptic number.

204015345100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204015345100 is an abundant number, since it is smaller than the sum of its proper divisors (319389592340).

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

204015345100 is a wasteful number, since it uses less digits than its factorization.

204015345100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10050067 (or 10050060 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 204015345100 its reverse (1543510402), we get a palindrome (205558855502).

The spelling of 204015345100 in words is "two hundred four billion, fifteen million, three hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1450 2030 2900 4060 5075 10150 20300 10050017 20100034 40200068 50250085 70350119 100500170 140700238 201000340 251250425 281400476 291450493 351750595 502500850 582900986 703501190 1005001700 1165801972 1407002380 1457252465 1758752975 2040153451 2914504930 3517505950 4080306902 5829009860 7035011900 7286262325 8160613804 10200767255 14572524650 20401534510 29145049300 40803069020 51003836275 102007672550 204015345100