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104114033120 = 2551297350159
BaseRepresentation
bin110000011110110101…
…1100001000111100000
3100221201212220212201202
41200331223201013200
53201211143024440
6115455045020332
710344020452106
oct1407553410740
9327655825652
10104114033120
1140177726079
12182176b46a8
139a82c49176
1450795b9c76
152a954d7615
hex183dae11e0

104114033120 has 48 divisors (see below), whose sum is σ = 245993267520. Its totient is φ = 41641572864.

The previous prime is 104114033077. The next prime is 104114033141. The reversal of 104114033120 is 21330411401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 104114033092 and 104114033101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2050601 + ... + 2100759.

It is an arithmetic number, because the mean of its divisors is an integer number (5124859740).

Almost surely, 2104114033120 is an apocalyptic number.

104114033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104114033120 is an abundant number, since it is smaller than the sum of its proper divisors (141879234400).

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

104114033120 is a wasteful number, since it uses less digits than its factorization.

104114033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63147 (or 63139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 104114033120 its reverse (21330411401), we get a palindrome (125444444521).

The spelling of 104114033120 in words is "one hundred four billion, one hundred fourteen million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 12973 25946 50159 51892 64865 100318 103784 129730 200636 207568 250795 259460 401272 415136 501590 518920 802544 1003180 1037840 1605088 2006360 2075680 4012720 8025440 650712707 1301425414 2602850828 3253563535 5205701656 6507127070 10411403312 13014254140 20822806624 26028508280 52057016560 104114033120