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104111412132 = 223713181526741
BaseRepresentation
bin110000011110110000…
…1100001001110100100
3100221201200222201102010
41200331201201032210
53201210010142012
6115454512514220
710343656254540
oct1407541411644
9327650881363
10104111412132
11401761a5972
121821684b970
139a8253c1a0
1450790d6a20
152a9516ac3c
hex183d8613a4

104111412132 has 96 divisors (see below), whose sum is σ = 300639049984. Its totient is φ = 27306201600.

The previous prime is 104111412079. The next prime is 104111412149. The reversal of 104111412132 is 231214111401.

It is a super-2 number, since 2×1041114121322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 104111412099 and 104111412108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65719 + ... + 461022.

Almost surely, 2104111412132 is an apocalyptic number.

104111412132 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 104111412132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150319524992).

104111412132 is an abundant number, since it is smaller than the sum of its proper divisors (196527637852).

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

104111412132 is a wasteful number, since it uses less digits than its factorization.

104111412132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526949 (or 526947 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 104111412132 its reverse (231214111401), we get a palindrome (335325523533).

The spelling of 104111412132 in words is "one hundred four billion, one hundred eleven million, four hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 181 182 273 362 364 543 546 724 1086 1092 1267 2172 2353 2534 3801 4706 5068 7059 7602 9412 14118 15204 16471 28236 32942 49413 65884 98826 197652 526741 1053482 1580223 2106964 3160446 3687187 6320892 6847633 7374374 11061561 13695266 14748748 20542899 22123122 27390532 41085798 44246244 47933431 82171596 95340121 95866862 143800293 190680242 191733724 286020363 287600586 381360484 572040726 575201172 667380847 1144081452 1239421573 1334761694 2002142541 2478843146 2669523388 3718264719 4004285082 4957686292 7436529438 8008570164 8675951011 14873058876 17351902022 26027853033 34703804044 52055706066 104111412132