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12104109852 = 2236773271761
BaseRepresentation
bin10110100010111011…
…00000111100011100
31011020120000111012220
423101131200330130
5144242123003402
65321025025340
7605644144002
oct132135407434
934216014186
1012104109852
1151514aa97a
122419785250
1311ab8b6ba3
1482b79ca72
154ac987dbc
hex2d1760f1c

12104109852 has 96 divisors (see below), whose sum is σ = 29202668544. Its totient is φ = 3900441600.

The previous prime is 12104109827. The next prime is 12104109859. The reversal of 12104109852 is 25890140121.

12104109852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12104109859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15905152 + ... + 15905912.

It is an arithmetic number, because the mean of its divisors is an integer number (304194464).

Almost surely, 212104109852 is an apocalyptic number.

12104109852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12104109852 is an abundant number, since it is smaller than the sum of its proper divisors (17098558692).

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

12104109852 is a wasteful number, since it uses less digits than its factorization.

12104109852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

Adding to 12104109852 its reverse (25890140121), we get a palindrome (37994249973).

The spelling of 12104109852 in words is "twelve billion, one hundred four million, one hundred nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 67 73 134 146 201 219 268 271 292 402 438 542 761 804 813 876 1084 1522 1626 2283 3044 3252 4566 4891 9132 9782 14673 18157 19564 19783 29346 36314 39566 50987 54471 55553 58692 59349 72628 79132 101974 108942 111106 118698 152961 166659 203948 206231 217884 222212 237396 305922 333318 412462 611844 618693 666636 824924 1237386 1325461 2474772 2650922 3722051 3976383 5301844 7444102 7952766 11166153 13817477 14888204 15054863 15905532 22332306 27634954 30109726 41452431 44664612 45164589 55269908 60219452 82904862 90329178 165809724 180658356 1008675821 2017351642 3026027463 4034703284 6052054926 12104109852