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113033132020100 = 225218133718530933
BaseRepresentation
bin11001101100110110010011…
…101011101001000110000100
3112211012212021022120001210202
4121230312103223221012010
5104303413323244120400
61040222412021310032
732544242245351505
oct3154662353510604
9484185238501722
10113033132020100
113301a09a291a66
12108166b3265318
134b0bc95022a86
141dcab93212bac
15d103b7a014d5
hex66cd93ae9184

113033132020100 has 72 divisors (see below), whose sum is σ = 247368919099848. Its totient is φ = 44830030694400.

The previous prime is 113033132020087. The next prime is 113033132020169. The reversal of 113033132020100 is 1020231330311.

It can be written as a sum of positive squares in 12 ways, for example, as 103007600338756 + 10025531681344 = 10149266^2 + 3166312^2 .

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, 3165767 + ... + 15365166.

Almost surely, 2113033132020100 is an apocalyptic number.

113033132020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113033132020100 is an abundant number, since it is smaller than the sum of its proper divisors (134335787079748).

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

113033132020100 is a wasteful number, since it uses less digits than its factorization.

113033132020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18531465 (or 18531458 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 113033132020100 its reverse (1020231330311), we get a palindrome (114053363350411).

The spelling of 113033132020100 in words is "one hundred thirteen trillion, thirty-three billion, one hundred thirty-two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 337 362 674 724 905 1348 1685 1810 3370 3620 4525 6740 8425 9050 16850 18100 33700 60997 121994 243988 304985 609970 1219940 1524925 3049850 6099700 18530933 37061866 74123732 92654665 185309330 370618660 463273325 926546650 1853093300 3354098873 6244924421 6708197746 12489848842 13416395492 16770494365 24979697684 31224622105 33540988730 62449244210 67081977460 83852471825 124898488420 156123110525 167704943650 312246221050 335409887300 624492442100 1130331320201 2260662640402 4521325280804 5651656601005 11303313202010 22606626404020 28258283005025 56516566010050 113033132020100