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40131103024100 = 225211137266297963
BaseRepresentation
bin10010001111111110000000…
…01000111110001111100100
312021002111101120101200112202
421013333000020332033210
520230001444333232400
6221203550233034032
711311243100260544
oct1107770010761744
9167074346350482
1040131103024100
1111872561494570
124601815255918
131951467b3b57a
149ca4da26d324
15498d7e8124d5
hex247fc023e3e4

40131103024100 has 72 divisors (see below), whose sum is σ = 95694705959328. Its totient is φ = 14486609132800.

The previous prime is 40131103024073. The next prime is 40131103024169. The reversal of 40131103024100 is 142030113104.

40131103024100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401311030241002 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132998282 + ... + 133299681.

It is an arithmetic number, because the mean of its divisors is an integer number (1329093138324).

Almost surely, 240131103024100 is an apocalyptic number.

It is an amenable number.

40131103024100 is an abundant number, since it is smaller than the sum of its proper divisors (55563602935228).

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

40131103024100 is a wasteful number, since it uses less digits than its factorization.

40131103024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266298125 (or 266298118 counting only the distinct ones).

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

Adding to 40131103024100 its reverse (142030113104), we get a palindrome (40273133137204).

The spelling of 40131103024100 in words is "forty trillion, one hundred thirty-one billion, one hundred three million, twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 137 220 274 275 548 550 685 1100 1370 1507 2740 3014 3425 6028 6850 7535 13700 15070 30140 37675 75350 150700 266297963 532595926 1065191852 1331489815 2662979630 2929277593 5325959260 5858555186 6657449075 11717110372 13314898150 14646387965 26629796300 29292775930 36482820931 58585551860 72965641862 73231939825 145931283724 146463879650 182414104655 292927759300 364828209310 401311030241 729656418620 802622060482 912070523275 1605244120964 1824141046550 2006555151205 3648282093100 4013110302410 8026220604820 10032775756025 20065551512050 40131103024100