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12030513012 = 2235717104009
BaseRepresentation
bin10110011010001001…
…10000111101110100
31011001102112101100000
423031010300331310
5144114302404022
65305435351300
7604061446650
oct131504607564
934042471300
1012030513012
115113a02541
1223b8bb2530
13119958916b
14821ac1a60
154a629b6ac
hex2cd130f74

12030513012 has 144 divisors (see below), whose sum is σ = 38162517120. Its totient is φ = 3235064832.

The previous prime is 12030512993. The next prime is 12030513017. The reversal of 12030513012 is 21031503021.

12030513012 is a `hidden beast` number, since 120 + 30 + 513 + 0 + 1 + 2 = 666.

12030513012 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12030513017) by changing a digit.

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, 63664 + ... + 167672.

It is an arithmetic number, because the mean of its divisors is an integer number (265017480).

Almost surely, 212030513012 is an apocalyptic number.

12030513012 is a gapful number since it is divisible by the number (12) 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 12030513012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19081258560).

12030513012 is an abundant number, since it is smaller than the sum of its proper divisors (26132004108).

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

12030513012 is a wasteful number, since it uses less digits than its factorization.

12030513012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104052 (or 104038 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Subtracting 12030513012 from its reverse (21031503021), we obtain a palindrome (9000990009).

The spelling of 12030513012 in words is "twelve billion, thirty million, five hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 243 252 306 324 357 378 459 476 486 567 612 714 756 918 972 1071 1134 1377 1428 1701 1836 2142 2268 2754 3213 3402 4131 4284 5508 6426 6804 8262 9639 12852 16524 19278 28917 38556 57834 104009 115668 208018 312027 416036 624054 728063 936081 1248108 1456126 1768153 1872162 2184189 2808243 2912252 3536306 3744324 4368378 5304459 5616486 6552567 7072612 8424729 8736756 10608918 11232972 12377071 13105134 15913377 16849458 19657701 21217836 24754142 25274187 26210268 31826754 33698916 37131213 39315402 47740131 49508284 50548374 58973103 63653508 74262426 78630804 95480262 101096748 111393639 117946206 143220393 148524852 176919309 190960524 222787278 235892412 286440786 334180917 353838618 429661179 445574556 572881572 668361834 707677236 859322358 1002542751 1336723668 1718644716 2005085502 3007628253 4010171004 6015256506 12030513012