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104213020312401 = 371121310150362099
BaseRepresentation
bin10111101100011111111100…
…000011101000001101010001
3111122222200000120022022112220
4113230133330003220031101
5102124411231144444101
61005350444533211253
730644066536010010
oct2754377403501521
9448880016268486
10104213020312401
1130229548158400
12b831221790b29
13461c3268c4bc0
141ba3d19568a77
15c0ac46d14636
hex5ec7fc0e8351

104213020312401 has 192 divisors, whose sum is σ = 190218154291200. Its totient is φ = 49378342464000.

The previous prime is 104213020312399. The next prime is 104213020312433.

104213020312401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104213020312401 - 21 = 104213020312399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104213020312601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1678144450 + ... + 1678206548.

It is an arithmetic number, because the mean of its divisors is an integer number (990719553600).

Almost surely, 2104213020312401 is an apocalyptic number.

104213020312401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104213020312401 is a deficient number, since it is larger than the sum of its proper divisors (86005133978799).

104213020312401 is a wasteful number, since it uses less digits than its factorization.

104213020312401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62748 (or 62737 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 104213020312401 in words is "one hundred four trillion, two hundred thirteen billion, twenty million, three hundred twelve thousand, four hundred one".