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20132431020 = 22325138603603
BaseRepresentation
bin10010101111111111…
…001000010010101100
31220222001201110110100
4102233333020102230
5312212400243040
613125415511100
71311620561112
oct225777102254
956861643410
1020132431020
1185a1261449
123a9a388490
131b8ac64aa0
14d8db19ab2
157cc6c9b30
hex4affc84ac

20132431020 has 72 divisors (see below), whose sum is σ = 65765948976. Its totient is φ = 4955674752.

The previous prime is 20132431013. The next prime is 20132431031. The reversal of 20132431020 is 2013423102.

20132431020 is a `hidden beast` number, since 201 + 32 + 431 + 0 + 2 + 0 = 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 = 20132430984 and 20132431002.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4299462 + ... + 4304141.

It is an arithmetic number, because the mean of its divisors is an integer number (913415958).

Almost surely, 220132431020 is an apocalyptic number.

20132431020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132431020 is an abundant number, since it is smaller than the sum of its proper divisors (45633517956).

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

20132431020 is a wasteful number, since it uses less digits than its factorization.

20132431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8603631 (or 8603626 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20132431020 its reverse (2013423102), we get a palindrome (22145854122).

The spelling of 20132431020 in words is "twenty billion, one hundred thirty-two million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 8603603 17207206 25810809 34414412 43018015 51621618 77432427 86036030 103243236 111846839 129054045 154864854 172072060 223693678 258108090 309729708 335540517 387162135 447387356 516216180 559234195 671081034 774324270 1006621551 1118468390 1342162068 1548648540 1677702585 2013243102 2236936780 3355405170 4026486204 5033107755 6710810340 10066215510 20132431020