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12013442430 = 23511293124247
BaseRepresentation
bin10110011000000111…
…01001010101111110
31011000020102002220020
423030003221111332
5144100420124210
65304025433010
7603463401333
oct131403512576
934006362806
1012013442430
115105303120
1223b333b766
131195b90222
1481d71a98a
154a4a28770
hex2cc0e957e

12013442430 has 64 divisors (see below), whose sum is σ = 31560979968. Its totient is φ = 2902386560.

The previous prime is 12013442429. The next prime is 12013442447. The reversal of 12013442430 is 3424431021.

It is a self number, because there is not a number n which added to its sum of digits gives 12013442430.

It is a congruent number.

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, 34567 + ... + 158813.

It is an arithmetic number, because the mean of its divisors is an integer number (493140312).

Almost surely, 212013442430 is an apocalyptic number.

12013442430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013442430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15780489984).

12013442430 is an abundant number, since it is smaller than the sum of its proper divisors (19547537538).

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

12013442430 is a wasteful number, since it uses less digits than its factorization.

12013442430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124561.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12013442430 its reverse (3424431021), we get a palindrome (15437873451).

The spelling of 12013442430 in words is "twelve billion, thirteen million, four hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 293 330 586 879 1465 1758 2930 3223 4395 6446 8790 9669 16115 19338 32230 48345 96690 124247 248494 372741 621235 745482 1242470 1366717 1863705 2733434 3727410 4100151 6833585 8200302 13667170 20500755 36404371 41001510 72808742 109213113 182021855 218426226 364043710 400448081 546065565 800896162 1092131130 1201344243 2002240405 2402688486 4004480810 6006721215 12013442430