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132211311312 = 2435579295323
BaseRepresentation
bin111101100100001101…
…0001000001011010000
3110122021000220111110210
41323020122020023100
54131232043430222
6140423111124120
712360214414053
oct1731032101320
9418230814423
10132211311312
1151085925043
1221759373640
13c610066872
14658304ca9a
15368c066d0c
hex1ec86882d0

132211311312 has 80 divisors (see below), whose sum is σ = 342591733440. Its totient is φ = 43935707136.

The previous prime is 132211311301. The next prime is 132211311329. The reversal of 132211311312 is 213113112231.

It is a super-2 number, since 2×1322113113122 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24835083 + ... + 24840405.

It is an arithmetic number, because the mean of its divisors is an integer number (4282396668).

Almost surely, 2132211311312 is an apocalyptic number.

132211311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132211311312 is an abundant number, since it is smaller than the sum of its proper divisors (210380422128).

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

132211311312 is a wasteful number, since it uses less digits than its factorization.

132211311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6820 (or 6814 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 132211311312 its reverse (213113112231), we get a palindrome (345324423543).

The spelling of 132211311312 in words is "one hundred thirty-two billion, two hundred eleven million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 557 929 1114 1671 1858 2228 2787 3342 3716 4456 5323 5574 6684 7432 8912 10646 11148 13368 14864 15969 21292 22296 26736 31938 42584 44592 63876 85168 127752 255504 517453 1034906 1552359 2069812 2964911 3104718 4139624 4945067 5929822 6209436 8279248 8894733 9890134 11859644 12418872 14835201 17789466 19780268 23719288 24837744 29670402 35578932 39560536 47438576 59340804 71157864 79121072 118681608 142315728 237363216 2754402319 5508804638 8263206957 11017609276 16526413914 22035218552 33052827828 44070437104 66105655656 132211311312