Search a number
-
+
132114102620985 = 32510382334633757
BaseRepresentation
bin11110000010100000110110…
…001010000001001100111001
3122022202222120222001212002100
4132002200312022001030321
5114304024140232332420
61144552214134054013
736553633423403232
oct3602406612011471
9568688528055070
10132114102620985
11391063047a3a81
12129987217aa309
1358943ca288624
14248a4dca5a089
1510418ce915190
hex782836281339

132114102620985 has 48 divisors (see below), whose sum is σ = 231502012994304. Its totient is φ = 69691983313536.

The previous prime is 132114102620963. The next prime is 132114102621019. The reversal of 132114102620985 is 589026201411231.

132114102620985 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 4 + 10 + 2 + 620 + 9 + 8 + 5 = 666.

It is not a de Polignac number, because 132114102620985 - 25 = 132114102620953 is a prime.

It is a super-2 number, since 2×1321141026209852 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 132114102620985.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13502274 + ... + 21131483.

It is an arithmetic number, because the mean of its divisors is an integer number (4822958604048).

Almost surely, 2132114102620985 is an apocalyptic number.

132114102620985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132114102620985 is a deficient number, since it is larger than the sum of its proper divisors (99387910373319).

132114102620985 is a wasteful number, since it uses less digits than its factorization.

132114102620985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34634694 (or 34634691 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 132114102620985 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one hundred two million, six hundred twenty thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 103 309 515 823 927 1545 2469 4115 4635 7407 12345 37035 84769 254307 423845 762921 1271535 3814605 34633757 103901271 173168785 311703813 519506355 1558519065 3567276971 10701830913 17836384855 28503582011 32105492739 53509154565 85510746033 142517910055 160527463695 256532238099 427553730165 1282661190495 2935868947133 8807606841399 14679344735665 26422820524197 44038034206995 132114102620985