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104512122 = 2321113192137
BaseRepresentation
bin1100011101010…
…11101001111010
321021122202200100
412032223221322
5203223341442
614212020230
72406224031
oct616535172
9237582610
10104512122
1153aa3560
122b001676
13188634c0
14dc47718
15929684c
hex63aba7a

104512122 has 96 divisors (see below), whose sum is σ = 280163520. Its totient is φ = 27682560.

The previous prime is 104512091. The next prime is 104512123. The reversal of 104512122 is 221215401.

104512122 is a `hidden beast` number, since 1 + 0 + 451 + 212 + 2 = 666.

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 = 104512095 and 104512104.

It is not an unprimeable number, because it can be changed into a prime (104512123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47838 + ... + 49974.

It is an arithmetic number, because the mean of its divisors is an integer number (2918370).

Almost surely, 2104512122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104512122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140081760).

104512122 is an abundant number, since it is smaller than the sum of its proper divisors (175651398).

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

104512122 is a wasteful number, since it uses less digits than its factorization.

104512122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 104512122 is about 10223.1170393379. The cubic root of 104512122 is about 471.0375779720.

Adding to 104512122 its reverse (221215401), we get a palindrome (325727523).

The spelling of 104512122 in words is "one hundred four million, five hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 78 99 114 117 143 171 198 209 234 247 286 342 418 429 494 627 741 858 1254 1287 1482 1881 2137 2223 2574 2717 3762 4274 4446 5434 6411 8151 12822 16302 19233 23507 24453 27781 38466 40603 47014 48906 55562 70521 81206 83343 121809 141042 166686 211563 243618 250029 305591 365427 423126 446633 500058 527839 611182 730854 893266 916773 1055678 1339899 1583517 1833546 2679798 2750319 3167034 4019697 4750551 5500638 5806229 8039394 9501102 11612458 17418687 34837374 52256061 104512122