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12013122030 = 2357138353017
BaseRepresentation
bin10110011000000100…
…11011000111101110
31011000012210211101120
423030002123013232
5144100324401110
65304014521410
7603460565250
oct131402330756
934005724346
1012013122030
115105104428
1223b3206266
131195aaa440
1481d675cd0
154a49b3870
hex2cc09b1ee

12013122030 has 128 divisors (see below), whose sum is σ = 35913120768. Its totient is φ = 2504051712.

The previous prime is 12013122007. The next prime is 12013122041. The reversal of 12013122030 is 3022131021.

12013122030 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 (15).

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 63 ways as a sum of consecutive naturals, for example, 200082 + ... + 253098.

It is an arithmetic number, because the mean of its divisors is an integer number (280571256).

Almost surely, 212013122030 is an apocalyptic number.

12013122030 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 12013122030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17956560384).

12013122030 is an abundant number, since it is smaller than the sum of its proper divisors (23899998738).

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

12013122030 is a wasteful number, since it uses less digits than its factorization.

12013122030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53130.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12013122030 its reverse (3022131021), we get a palindrome (15035253051).

The spelling of 12013122030 in words is "twelve billion, thirteen million, one hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 83 91 105 130 166 182 195 210 249 273 390 415 455 498 546 581 830 910 1079 1162 1245 1365 1743 2158 2490 2730 2905 3237 3486 5395 5810 6474 7553 8715 10790 15106 16185 17430 22659 32370 37765 45318 53017 75530 106034 113295 159051 226590 265085 318102 371119 530170 689221 742238 795255 1113357 1378442 1590510 1855595 2067663 2226714 3446105 3711190 4135326 4400411 4824547 5566785 6892210 8800822 9649094 10338315 11133570 13201233 14473641 20676630 22002055 24122735 26402466 28947282 30802877 44004110 48245470 57205343 61605754 66006165 72368205 92408631 114410686 132012330 144736410 154014385 171616029 184817262 286026715 308028770 343232058 400437401 462043155 572053430 800874802 858080145 924086310 1201312203 1716160290 2002187005 2402624406 4004374010 6006561015 12013122030