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12132144310 = 25111347180511
BaseRepresentation
bin10110100110010000…
…11101010010110110
31011022111202210021011
423103020131102312
5144321312104220
65323505542434
7606434345056
oct132310352266
934274683234
1012132144310
115166308650
122427044a1a
1311b4651320
148313b9566
154b017465a
hex2d321d4b6

12132144310 has 64 divisors (see below), whose sum is σ = 26201677824. Its totient is φ = 3985660800.

The previous prime is 12132144307. The next prime is 12132144373. The reversal of 12132144310 is 1344123121.

12132144310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121321443102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 31 ways as a sum of consecutive naturals, for example, 23046 + ... + 157465.

It is an arithmetic number, because the mean of its divisors is an integer number (409401216).

Almost surely, 212132144310 is an apocalyptic number.

12132144310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12132144310 is an abundant number, since it is smaller than the sum of its proper divisors (14069533514).

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

12132144310 is a wasteful number, since it uses less digits than its factorization.

12132144310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180589.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12132144310 its reverse (1344123121), we get a palindrome (13476267431).

The spelling of 12132144310 in words is "twelve billion, one hundred thirty-two million, one hundred forty-four thousand, three hundred ten".

Divisors: 1 2 5 10 11 13 22 26 47 55 65 94 110 130 143 235 286 470 517 611 715 1034 1222 1430 2585 3055 5170 6110 6721 13442 33605 67210 180511 361022 902555 1805110 1985621 2346643 3971242 4693286 8484017 9928105 11733215 16968034 19856210 23466430 25813073 42420085 51626146 84840170 93324187 110292221 129065365 186648374 220584442 258130730 466620935 551461105 933241870 1102922210 1213214431 2426428862 6066072155 12132144310