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204402310100 = 225217120236653
BaseRepresentation
bin1011111001011101010…
…0111011101111010100
3201112121011000012122122
42332113110323233110
511322103442410400
6233522350515112
720524164653222
oct2762724735724
9645534005578
10204402310100
1179760858a0a
1233745b05a98
13163763b07b1
149c70a3bb12
1554b4bb7685
hex2f9753bbd4

204402310100 has 36 divisors (see below), whose sum is σ = 469644370524. Its totient is φ = 76951457280.

The previous prime is 204402310093. The next prime is 204402310121. The reversal of 204402310100 is 1013204402.

It can be written as a sum of positive squares in 6 ways, for example, as 27879648784 + 176522661316 = 166972^2 + 420146^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60116627 + ... + 60120026.

It is an arithmetic number, because the mean of its divisors is an integer number (13045676959).

Almost surely, 2204402310100 is an apocalyptic number.

204402310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204402310100 is an abundant number, since it is smaller than the sum of its proper divisors (265242060424).

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

204402310100 is a wasteful number, since it uses less digits than its factorization.

204402310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120236684 (or 120236677 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 204402310100 its reverse (1013204402), we get a palindrome (205415514502).

The spelling of 204402310100 in words is "two hundred four billion, four hundred two million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 120236653 240473306 480946612 601183265 1202366530 2044023101 2404733060 3005916325 4088046202 6011832650 8176092404 10220115505 12023665300 20440231010 40880462020 51100577525 102201155050 204402310100