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12013332030 = 23257171121693
BaseRepresentation
bin10110011000000110…
…01110011000111110
31011000020012111110100
423030003032120332
5144100403111110
65304023221530
7603462431430
oct131403163076
934006174410
1012013332030
115105238187
1223b32a78a6
131195b51bbb
1481d6cc650
154a4a05bc0
hex2cc0ce63e

12013332030 has 96 divisors (see below), whose sum is σ = 37796601024. Its totient is φ = 2584378368.

The previous prime is 12013332029. The next prime is 12013332043. The reversal of 12013332030 is 3023331021.

12013332030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12013331994 and 12013332012.

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 47 ways as a sum of consecutive naturals, for example, 550137 + ... + 571556.

It is an arithmetic number, because the mean of its divisors is an integer number (393714594).

Almost surely, 212013332030 is an apocalyptic number.

12013332030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12013332030 is an abundant number, since it is smaller than the sum of its proper divisors (25783268994).

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

12013332030 is a wasteful number, since it uses less digits than its factorization.

12013332030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121730 (or 1121727 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12013332030 its reverse (3023331021), we get a palindrome (15036663051).

The spelling of 12013332030 in words is "twelve billion, thirteen million, three hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 2142 3570 5355 10710 1121693 2243386 3365079 5608465 6730158 7851851 10095237 11216930 15703702 16825395 19068781 20190474 23555553 33650790 38137562 39259255 47111106 50476185 57206343 70666659 78518510 95343905 100952370 114412686 117777765 133481467 141333318 171619029 190687810 235555530 266962934 286031715 343238058 353333295 400444401 572063430 667407335 706666590 800888802 858095145 1201333203 1334814670 1716190290 2002222005 2402666406 4004444010 6006666015 12013332030