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132311211311112 = 233191114112529463
BaseRepresentation
bin11110000101011000011010…
…110000000000000000001000
3122100110211100210211210001220
4132011120122300000000020
5114320241330043423422
61145222533101242040
736604112105542341
oct3605303260000010
9570424323753056
10132311211311112
1139181962491289
1212a0a970b63320
1358a9b8058a352
142495c7ab490c8
151046ab9114e5c
hex78561ac00008

132311211311112 has 64 divisors (see below), whose sum is σ = 332539121295360. Its totient is φ = 43868965358400.

The previous prime is 132311211311101. The next prime is 132311211311129. The reversal of 132311211311112 is 211113112113231.

It is a super-2 number, since 2×1323112113111122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

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, 51043293 + ... + 53572755.

It is an arithmetic number, because the mean of its divisors is an integer number (5195923770240).

Almost surely, 2132311211311112 is an apocalyptic number.

132311211311112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132311211311112 is an abundant number, since it is smaller than the sum of its proper divisors (200227909984248).

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

132311211311112 is a wasteful number, since it uses less digits than its factorization.

132311211311112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541074 (or 2541070 counting only the distinct ones).

The product of its digits is 216, while the sum is 24.

Adding to 132311211311112 its reverse (211113112113231), we get a palindrome (343424323424343).

The spelling of 132311211311112 in words is "one hundred thirty-two trillion, three hundred eleven billion, two hundred eleven million, three hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 191 382 573 764 1146 1528 2292 4584 11411 22822 34233 45644 68466 91288 136932 273864 2179501 2529463 4359002 5058926 6538503 7588389 8718004 10117852 13077006 15176778 17436008 20235704 26154012 30353556 52308024 60707112 483127433 966254866 1449382299 1932509732 2898764598 3865019464 5797529196 11595058392 28863702293 57727404586 86591106879 115454809172 173182213758 230909618344 346364427516 692728855032 5512967137963 11025934275926 16538901413889 22051868551852 33077802827778 44103737103704 66155605655556 132311211311112