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132332133023112 = 23311821610545773
BaseRepresentation
bin11110000101101011111001…
…110001111111110110001000
3122100112211100212201212111010
4132011223321301333312020
5114321112202023214422
61145240313114203520
736605452422264261
oct3605537161776610
9570484325655433
10132332133023112
113918a819222160
1212a12a2b7235a0
1358abb35bc10a9
142496ca35dd968
1510473e0c4ab0c
hex785af9c7fd88

132332133023112 has 64 divisors (see below), whose sum is σ = 361345410884160. Its totient is φ = 40051802643200.

The previous prime is 132332133023087. The next prime is 132332133023117. The reversal of 132332133023112 is 211320331233231.

It is a super-3 number, since 3×1323321330231123 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132332133023112.

It is not an unprimeable number, because it can be changed into a prime (132332133023117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305056143 + ... + 305489630.

It is an arithmetic number, because the mean of its divisors is an integer number (5646022045065).

Almost surely, 2132332133023112 is an apocalyptic number.

132332133023112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132332133023112 is an abundant number, since it is smaller than the sum of its proper divisors (229013277861048).

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

132332133023112 is a wasteful number, since it uses less digits than its factorization.

132332133023112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610546614 (or 610546610 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 132332133023112 its reverse (211320331233231), we get a palindrome (343652464256343).

The spelling of 132332133023112 in words is "one hundred thirty-two trillion, three hundred thirty-two billion, one hundred thirty-three million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 821 1642 2463 3284 4926 6568 9031 9852 18062 19704 27093 36124 54186 72248 108372 216744 610545773 1221091546 1831637319 2442183092 3663274638 4884366184 6716003503 7326549276 13432007006 14653098552 20148010509 26864014012 40296021018 53728028024 80592042036 161184084072 501258079633 1002516159266 1503774238899 2005032318532 3007548477798 4010064637064 5513838875963 6015096955596 11027677751926 12030193911192 16541516627889 22055355503852 33083033255778 44110711007704 66166066511556 132332133023112