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12345048038100 = 2235241150160127
BaseRepresentation
bin1011001110100100111000…
…1100111111101011010100
31121201011201121211120111010
42303221032030333223110
53104230124244204400
642131123051012220
72412620540650041
oct263511614775324
947634647746433
1012345048038100
113a2a561867958
12147467773a070
136b719637ba2b
143097098d61c8
151661ca35b450
hexb3a4e33fad4

12345048038100 has 36 divisors (see below), whose sum is σ = 35718338991104. Its totient is φ = 3292012810080.

The previous prime is 12345048038051. The next prime is 12345048038203. The reversal of 12345048038100 is 183084054321.

It is a super-2 number, since 2×123450480381002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20575079764 + ... + 20575080363.

Almost surely, 212345048038100 is an apocalyptic number.

12345048038100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12345048038100 is an abundant number, since it is smaller than the sum of its proper divisors (23373290953004).

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

12345048038100 is a wasteful number, since it uses less digits than its factorization.

12345048038100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41150160144 (or 41150160137 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 12345048038100 in words is "twelve trillion, three hundred forty-five billion, forty-eight million, thirty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 41150160127 82300320254 123450480381 164600640508 205750800635 246900960762 411501601270 493801921524 617252401905 823003202540 1028754003175 1234504803810 2057508006350 2469009607620 3086262009525 4115016012700 6172524019050 12345048038100