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104133010314330 = 2345128559271993
BaseRepresentation
bin10111101011010101011011…
…000101101101010001011010
3111122201000111112101021210000
4113223111123011231101122
5102122103401120024310
61005250013341233430
730635235033154344
oct2753253305552132
9448630445337700
10104133010314330
11301a861a642658
12b819812562876
13461491569c38a
141ba00c934a294
15c08b12a1d4c0
hex5eb55b16d45a

104133010314330 has 40 divisors (see below), whose sum is σ = 280002094402932. Its totient is φ = 27768802750272.

The previous prime is 104133010314329. The next prime is 104133010314343. The reversal of 104133010314330 is 33413010331401.

104133010314330 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 3 + 3 + 0 + 10 + 314 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102951847817361 + 1181162496969 = 10146519^2 + 1086813^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 104133010314294 and 104133010314303.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64279635187 + ... + 64279636806.

Almost surely, 2104133010314330 is an apocalyptic number.

104133010314330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104133010314330 is an abundant number, since it is smaller than the sum of its proper divisors (175869084088602).

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

104133010314330 is a wasteful number, since it uses less digits than its factorization.

104133010314330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128559272012 (or 128559272003 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 104133010314330 its reverse (33413010331401), we get a palindrome (137546020645731).

The spelling of 104133010314330 in words is "one hundred four trillion, one hundred thirty-three billion, ten million, three hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 128559271993 257118543986 385677815979 642796359965 771355631958 1157033447937 1285592719930 1928389079895 2314066895874 3471100343811 3856778159790 5785167239685 6942200687622 10413301031433 11570334479370 17355501719055 20826602062866 34711003438110 52066505157165 104133010314330