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204231431020 = 22589359319601
BaseRepresentation
bin1011111000110100100…
…1000101001101101100
3201112011020110122121211
42332031021011031230
511321231221243040
6233453404204204
720520021343411
oct2761511051554
9645136418554
10204231431020
1179683355a31
12336b8839664
1316349b81306
149c5607a108
1554a4bb18ea
hex2f8d24536c

204231431020 has 48 divisors (see below), whose sum is σ = 434914401600. Its totient is φ = 80549427200.

The previous prime is 204231431017. The next prime is 204231431023. The reversal of 204231431020 is 20134132402.

204231431020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204231431017) and next prime (204231431023).

It is a junction number, because it is equal to n+sod(n) for n = 204231430982 and 204231431000.

It is not an unprimeable number, because it can be changed into a prime (204231431023) 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 15 ways as a sum of consecutive naturals, for example, 479220 + ... + 798820.

It is an arithmetic number, because the mean of its divisors is an integer number (9060716700).

Almost surely, 2204231431020 is an apocalyptic number.

204231431020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204231431020 is an abundant number, since it is smaller than the sum of its proper divisors (230682970580).

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

204231431020 is a wasteful number, since it uses less digits than its factorization.

204231431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320058 (or 320056 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 204231431020 its reverse (20134132402), we get a palindrome (224365563422).

The spelling of 204231431020 in words is "two hundred four billion, two hundred thirty-one million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 89 178 356 359 445 718 890 1436 1780 1795 3590 7180 31951 63902 127804 159755 319510 319601 639020 639202 1278404 1598005 3196010 6392020 28444489 56888978 113777956 114736759 142222445 229473518 284444890 458947036 568889780 573683795 1147367590 2294735180 10211571551 20423143102 40846286204 51057857755 102115715510 204231431020