Search a number
-
+
104112012 = 2231731101163
BaseRepresentation
bin1100011010010…
…01111110001100
321020220102211110
412031021332030
5203123041022
614155252020
72402636364
oct615117614
9236812743
10104112012
115384a994
122aa4a010
1318753354
14db819a4
15921800c
hex6349f8c

104112012 has 96 divisors (see below), whose sum is σ = 269789184. Its totient is φ = 31104000.

The previous prime is 104111977. The next prime is 104112023. The reversal of 104112012 is 210211401.

It is a happy number.

It is a super-2 number, since 2×1041120122 = 21678622085376288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 638643 + ... + 638805.

It is an arithmetic number, because the mean of its divisors is an integer number (2810304).

Almost surely, 2104112012 is an apocalyptic number.

104112012 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 104112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134894592).

104112012 is an abundant number, since it is smaller than the sum of its proper divisors (165677172).

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

104112012 is a wasteful number, since it uses less digits than its factorization.

104112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 104112012 is about 10203.5293893829. The cubic root of 104112012 is about 470.4357088272.

Adding to 104112012 its reverse (210211401), we get a palindrome (314323413).

The spelling of 104112012 in words is "one hundred four million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 101 102 124 163 186 202 204 303 326 372 404 489 527 606 652 978 1054 1212 1581 1717 1956 2108 2771 3131 3162 3434 5053 5151 5542 6262 6324 6868 8313 9393 10106 10302 11084 12524 15159 16463 16626 18786 20212 20604 30318 32926 33252 37572 49389 53227 60636 65852 85901 98778 106454 159681 171802 197556 212908 257703 279871 319362 343604 510353 515406 559742 638724 839613 1020706 1030812 1119484 1531059 1679226 2041412 3062118 3358452 6124236 8676001 17352002 26028003 34704004 52056006 104112012