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204040131113000 = 235371359304112497
BaseRepresentation
bin101110011001001011001011…
…100010001111000000101000
3222202110001020120002112020002
4232121023023202033000220
5203220443142031104000
62001542424152322132
760656261442206240
oct5631131342170050
9882401216075202
10204040131113000
115a016a2a775106
121aa744170a3348
1389b0b95355110
143855848b00b20
15188c8432ce8d5
hexb992cb88f028

204040131113000 has 512 divisors, whose sum is σ = 597839850316800. Its totient is φ = 63454887936000.

The previous prime is 204040131112997. The next prime is 204040131113003. The reversal of 204040131113000 is 311131040402.

It is an interprime number because it is at equal distance from previous prime (204040131112997) and next prime (204040131113003).

It is a super-2 number, since 2×2040401311130002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (204040131113003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16327122752 + ... + 16327135248.

It is an arithmetic number, because the mean of its divisors is an integer number (1167655957650).

Almost surely, 2204040131113000 is an apocalyptic number.

204040131113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204040131113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298919925158400).

204040131113000 is an abundant number, since it is smaller than the sum of its proper divisors (393799719203800).

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

204040131113000 is a wasteful number, since it uses less digits than its factorization.

204040131113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15638 (or 15624 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 204040131113000 its reverse (311131040402), we get a palindrome (204351262153402).

The spelling of 204040131113000 in words is "two hundred four trillion, forty billion, one hundred thirty-one million, one hundred thirteen thousand".