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12103003120 = 2451317684559
BaseRepresentation
bin10110100010110010…
…10010101111110000
31011020110221021001211
423101121102233300
5144241332044440
65320545205504
7605631554245
oct132131225760
934213837054
1012103003120
11515091441a
122419330894
1311ab5ba210
1482b5915cc
154ac819eea
hex2d1652bf0

12103003120 has 80 divisors (see below), whose sum is σ = 32086696320. Its totient is φ = 4205924352.

The previous prime is 12103003117. The next prime is 12103003163. The reversal of 12103003120 is 2130030121.

12103003120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 12103003120.

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 15 ways as a sum of consecutive naturals, for example, 324600 + ... + 359959.

It is an arithmetic number, because the mean of its divisors is an integer number (401083704).

Almost surely, 212103003120 is an apocalyptic number.

12103003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12103003120 is an abundant number, since it is smaller than the sum of its proper divisors (19983693200).

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

12103003120 is a wasteful number, since it uses less digits than its factorization.

12103003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684602 (or 684596 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12103003120 its reverse (2130030121), we get a palindrome (14233033241).

The spelling of 12103003120 in words is "twelve billion, one hundred three million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 3536 4420 8840 17680 684559 1369118 2738236 3422795 5476472 6845590 8899267 10952944 11637503 13691180 17798534 23275006 27382360 35597068 44496335 46550012 54764720 58187515 71194136 88992670 93100024 116375030 142388272 151287539 177985340 186200048 232750060 302575078 355970680 465500120 605150156 711941360 756437695 931000240 1210300312 1512875390 2420600624 3025750780 6051501560 12103003120