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132114102621003 = 3414231146196981
BaseRepresentation
bin11110000010100000110110…
…001010000001001101001011
3122022202222120222001212010000
4132002200312022001031023
5114304024140232333003
61144552214134054043
736553633423403256
oct3602406612011513
9568688528055100
10132114102621003
11391063047a3a98
12129987217aa323
1358943ca288639
14248a4dca5a09d
1510418ce9151a3
hex78283628134b

132114102621003 has 20 divisors (see below), whose sum is σ = 197494324786528. Its totient is φ = 88014173700240.

The previous prime is 132114102620963. The next prime is 132114102621019. The reversal of 132114102621003 is 300126201411231.

132114102621003 is a `hidden beast` number, since 1 + 3 + 2 + 11 + 410 + 26 + 210 + 0 + 3 = 666.

It is not a de Polignac number, because 132114102621003 - 210 = 132114102619979 is a prime.

It is a super-2 number, since 2×1321141026210032 (a number of 29 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132114102621073) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 572983228 + ... + 573213753.

Almost surely, 2132114102621003 is an apocalyptic number.

132114102621003 is a deficient number, since it is larger than the sum of its proper divisors (65380222165525).

132114102621003 is a wasteful number, since it uses less digits than its factorization.

132114102621003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146198416 (or 1146198407 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 132114102621003 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one hundred two million, six hundred twenty-one thousand, three".

Divisors: 1 3 9 27 81 1423 4269 12807 38421 115263 1146196981 3438590943 10315772829 30947318487 92841955461 1631038303963 4893114911889 14679344735667 44038034207001 132114102621003