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132332311332 = 22331327250291
BaseRepresentation
bin111101100111110011…
…1101101001100100100
3110122120110120221022000
41323033213231030210
54132004032430312
6140443112405300
712363214041564
oct1731747551444
9418513527260
10132332311332
115113815a161
12217919a6830
13c62c150a00
146595148da4
1536979b8adc
hex1ecf9ed324

132332311332 has 72 divisors (see below), whose sum is σ = 371504962080. Its totient is φ = 40717628640.

The previous prime is 132332311327. The next prime is 132332311361. The reversal of 132332311332 is 233113233231.

132332311332 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 323 + 1 + 1 + 332 = 666.

132332311332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1323323113322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 132332311296 and 132332311305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3606894 + ... + 3643397.

It is an arithmetic number, because the mean of its divisors is an integer number (5159791140).

Almost surely, 2132332311332 is an apocalyptic number.

132332311332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132332311332 is an abundant number, since it is smaller than the sum of its proper divisors (239172650748).

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

132332311332 is a wasteful number, since it uses less digits than its factorization.

132332311332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7250330 (or 7250309 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 132332311332 its reverse (233113233231), we get a palindrome (365445544563).

The spelling of 132332311332 in words is "one hundred thirty-two billion, three hundred thirty-two million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 3042 4563 6084 9126 18252 7250291 14500582 21750873 29001164 43501746 65252619 87003492 94253783 130505238 188507566 195757857 261010476 282761349 377015132 391515714 565522698 783031428 848284047 1131045396 1225299179 1696568094 2450598358 2544852141 3393136188 3675897537 4901196716 5089704282 7351795074 10179408564 11027692611 14703590148 22055385222 33083077833 44110770444 66166155666 132332311332