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202131020040 = 23352879585073
BaseRepresentation
bin1011110000111111110…
…0101001100100001000
3201022201212011201102120
42330033330221210020
511302431020120130
6232505133131240
720413665215265
oct2741774514410
9638655151376
10202131020040
11787a5767094
1233211329b20
13160a397b391
149ad712426c
1553d05b7910
hex2f0ff29908

202131020040 has 64 divisors (see below), whose sum is σ = 606604723200. Its totient is φ = 53882790912.

The previous prime is 202131020029. The next prime is 202131020107. The reversal of 202131020040 is 40020131202.

202131020040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 52944 + ... + 638016.

It is an arithmetic number, because the mean of its divisors is an integer number (9478198800).

Almost surely, 2202131020040 is an apocalyptic number.

202131020040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202131020040 is an abundant number, since it is smaller than the sum of its proper divisors (404473703160).

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

202131020040 is a wasteful number, since it uses less digits than its factorization.

202131020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587966 (or 587962 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 202131020040 its reverse (40020131202), we get a palindrome (242151151242).

The spelling of 202131020040 in words is "two hundred two billion, one hundred thirty-one million, twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2879 5758 8637 11516 14395 17274 23032 28790 34548 43185 57580 69096 86370 115160 172740 345480 585073 1170146 1755219 2340292 2925365 3510438 4680584 5850730 7020876 8776095 11701460 14041752 17552190 23402920 35104380 70208760 1684425167 3368850334 5053275501 6737700668 8422125835 10106551002 13475401336 16844251670 20213102004 25266377505 33688503340 40426204008 50532755010 67377006680 101065510020 202131020040