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104000314032 = 24322331401061
BaseRepresentation
bin110000011011011100…
…1101101101010110000
3100221102221221100110200
41200312321231222300
53200443040022112
6115435503355200
710341140040426
oct1406671555260
9327387840420
10104000314032
114011951425a
12181a55b2b00
139a65511074
145068457116
152a8a522cdc
hex1836e6dab0

104000314032 has 60 divisors (see below), whose sum is σ = 303711071664. Its totient is φ = 33159519360.

The previous prime is 104000313997. The next prime is 104000314049. The reversal of 104000314032 is 230413000401.

104000314032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104000313996 and 104000314014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15697219 + ... + 15703842.

Almost surely, 2104000314032 is an apocalyptic number.

104000314032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104000314032 is an abundant number, since it is smaller than the sum of its proper divisors (199710757632).

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

104000314032 is a wasteful number, since it uses less digits than its factorization.

104000314032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31401098 (or 31401089 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 104000314032 its reverse (230413000401), we get a palindrome (334413314433).

The spelling of 104000314032 in words is "one hundred four billion, three hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 31401061 62802122 94203183 125604244 188406366 251208488 282609549 376812732 502416976 565219098 722224403 753625464 1130438196 1444448806 1507250928 2166673209 2260876392 2888897612 4333346418 4521752784 5777795224 6500019627 8666692836 11555590448 13000039254 17333385672 26000078508 34666771344 52000157016 104000314032