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104165112312 = 23326135367187
BaseRepresentation
bin110000100000010111…
…0010111100111111000
3100221212110000222012200
41201000232113213320
53201312232043222
6115504111510200
710345210563042
oct1410056274770
9327773028180
10104165112312
11401a3543688
1218230828360
139a906c1841
1450822b4a92
152a99c26eac
hex1840b979f8

104165112312 has 96 divisors (see below), whose sum is σ = 287555233680. Its totient is φ = 34055239680.

The previous prime is 104165112307. The next prime is 104165112313. The reversal of 104165112312 is 213211561401.

104165112312 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 651 + 1 + 2 + 3 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104165112313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1516783 + ... + 1583969.

Almost surely, 2104165112312 is an apocalyptic number.

104165112312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104165112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143777616840).

104165112312 is an abundant number, since it is smaller than the sum of its proper divisors (183390121368).

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

104165112312 is a wasteful number, since it uses less digits than its factorization.

104165112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67613 (or 67606 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 104165112312 its reverse (213211561401), we get a palindrome (317376673713).

The spelling of 104165112312 in words is "one hundred four billion, one hundred sixty-five million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 353 366 488 549 706 732 1059 1098 1412 1464 2118 2196 2824 3177 4236 4392 6354 8472 12708 21533 25416 43066 64599 67187 86132 129198 134374 172264 193797 201561 258396 268748 387594 403122 516792 537496 604683 775188 806244 1209366 1550376 1612488 2418732 4098407 4837464 8196814 12295221 16393628 23717011 24590442 32787256 36885663 47434022 49180884 71151033 73771326 94868044 98361768 142302066 147542652 189736088 213453099 284604132 295085304 426906198 569208264 853812396 1446737671 1707624792 2893475342 4340213013 5786950684 8680426026 11573901368 13020639039 17360852052 26041278078 34721704104 52082556156 104165112312