Search a number
-
+
12103634004 = 22371197135043
BaseRepresentation
bin10110100010110111…
…01100110001010100
31011020112010022110220
423101123230301110
5144242012242004
65321010514340
7605640122460
oct132133546124
934215108426
1012103634004
115151205410
1224195959b0
1311ab77b417
1482b6b74a0
154ac8e1dd9
hex2d16ecc54

12103634004 has 96 divisors (see below), whose sum is σ = 35573830656. Its totient is φ = 3111367680.

The previous prime is 12103633987. The next prime is 12103634021. The reversal of 12103634004 is 40043630121.

12103634004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12103633987) and next prime (12103634021).

It is a super-2 number, since 2×121036340042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 22107 + ... + 157149.

It is an arithmetic number, because the mean of its divisors is an integer number (370560736).

Almost surely, 212103634004 is an apocalyptic number.

12103634004 is a gapful number since it is divisible by the number (14) 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 12103634004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17786915328).

12103634004 is an abundant number, since it is smaller than the sum of its proper divisors (23470196652).

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

12103634004 is a wasteful number, since it uses less digits than its factorization.

12103634004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135165 (or 135163 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 12103634004 in words is "twelve billion, one hundred three million, six hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 97 132 154 194 231 291 308 388 462 582 679 924 1067 1164 1358 2037 2134 2716 3201 4074 4268 6402 7469 8148 12804 14938 22407 29876 44814 89628 135043 270086 405129 540172 810258 945301 1485473 1620516 1890602 2835903 2970946 3781204 4456419 5671806 5941892 8912838 10398311 11343612 13099171 17825676 20796622 26198342 31194933 39297513 41593244 52396684 62389866 78595026 91694197 124779732 144090881 157190052 183388394 275082591 288181762 366776788 432272643 550165182 576363524 864545286 1008636167 1100330364 1729090572 2017272334 3025908501 4034544668 6051817002 12103634004