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12131310204 = 223213713311103
BaseRepresentation
bin10110100110001010…
…10001101001111100
31011022110012102002100
423103011101221330
5144321103411304
65323440025100
7606424302216
oct132305215174
934273172070
1012131310204
115165898a02
122426902190
1311b441b780
1483123d5b6
154b005c439
hex2d3151a7c

12131310204 has 144 divisors (see below), whose sum is σ = 33620880384. Its totient is φ = 3665692800.

The previous prime is 12131310203. The next prime is 12131310223. The reversal of 12131310204 is 40201313121.

12131310204 is a `hidden beast` number, since 121 + 31 + 310 + 204 = 666.

12131310204 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 (12131310203) 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, 10997917 + ... + 10999019.

It is an arithmetic number, because the mean of its divisors is an integer number (233478336).

Almost surely, 212131310204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131310204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16810440192).

12131310204 is an abundant number, since it is smaller than the sum of its proper divisors (21489570180).

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

12131310204 is a wasteful number, since it uses less digits than its factorization.

12131310204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12131310204 its reverse (40201313121), we get a palindrome (52332623325).

The spelling of 12131310204 in words is "twelve billion, one hundred thirty-one million, three hundred ten thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 213 234 284 331 426 468 639 662 852 923 993 1103 1278 1324 1846 1986 2206 2556 2769 2979 3309 3692 3972 4303 4412 5538 5958 6618 8307 8606 9927 11076 11916 12909 13236 14339 16614 17212 19854 23501 25818 28678 33228 38727 39708 43017 47002 51636 57356 70503 77454 78313 86034 94004 129051 141006 154908 156626 172068 211509 234939 258102 282012 305513 313252 365093 423018 469878 516204 611026 704817 730186 846036 916539 939756 1018069 1095279 1222052 1409634 1460372 1833078 2036138 2190558 2749617 2819268 3054207 3285837 3666156 4072276 4381116 4746209 5499234 6108414 6571674 9162621 9492418 10998468 12216828 13143348 14238627 18325242 18984836 25921603 28477254 36650484 42715881 51843206 56954508 77764809 85431762 103686412 155529618 170863524 233294427 311059236 336980839 466588854 673961678 933177708 1010942517 1347923356 2021885034 3032827551 4043770068 6065655102 12131310204