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1004130236120 = 2351111511982723
BaseRepresentation
bin11101001110010101101…
…00110111011011011000
310112222211120012011022012
432213022310313123120
5112422424320023440
62045142511445052
7132355166115524
oct16471264673330
93488746164265
101004130236120
11357938382480
12142735226788
13738c5b8933b
1436858bbcd84
151b1be164e65
hexe9cad376d8

1004130236120 has 64 divisors (see below), whose sum is σ = 2466825891840. Its totient is φ = 364820848000.

The previous prime is 1004130236107. The next prime is 1004130236141. The reversal of 1004130236120 is 216320314001.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 484922 + ... + 1497801.

It is an arithmetic number, because the mean of its divisors is an integer number (38544154560).

Almost surely, 21004130236120 is an apocalyptic number.

1004130236120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004130236120 is an abundant number, since it is smaller than the sum of its proper divisors (1462695655720).

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

1004130236120 is a wasteful number, since it uses less digits than its factorization.

1004130236120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983896 (or 1983892 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The spelling of 1004130236120 in words is "one trillion, four billion, one hundred thirty million, two hundred thirty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1151 2302 4604 5755 9208 11510 12661 23020 25322 46040 50644 63305 101288 126610 253220 506440 1982723 3965446 7930892 9913615 15861784 19827230 21809953 39654460 43619906 79308920 87239812 109049765 174479624 218099530 436199060 872398120 2282114173 4564228346 9128456692 11410570865 18256913384 22821141730 25103255903 45642283460 50206511806 91284566920 100413023612 125516279515 200826047224 251032559030 502065118060 1004130236120