Search a number
-
+
132114134313210 = 2357629114925301
BaseRepresentation
bin11110000010100000111000…
…000010111010100011111010
3122022202222200011200222122110
4132002200320002322203322
5114304024221341010320
61144552221225233150
736553634256650340
oct3602407002724372
9568688604628573
10132114134313210
113910632067a8a5
12129987303327b6
135894403a0391a
14248a502d49990
1510418d25c55e0
hex7828380ba8fa

132114134313210 has 32 divisors (see below), whose sum is σ = 362370196973952. Its totient is φ = 30197516414400.

The previous prime is 132114134313157. The next prime is 132114134313233. The reversal of 132114134313210 is 12313431411231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 314557462441 + ... + 314557462860.

It is an arithmetic number, because the mean of its divisors is an integer number (11324068655436).

Almost surely, 2132114134313210 is an apocalyptic number.

132114134313210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132114134313210 is an abundant number, since it is smaller than the sum of its proper divisors (230256062660742).

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

132114134313210 is a wasteful number, since it uses less digits than its factorization.

132114134313210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629114925318.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 132114134313210 its reverse (12313431411231), we get a palindrome (144427565724441).

The spelling of 132114134313210 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one hundred thirty-four million, three hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 629114925301 1258229850602 1887344775903 3145574626505 3774689551806 4403804477107 6291149253010 8807608954214 9436723879515 13211413431321 18873447759030 22019022385535 26422826862642 44038044771070 66057067156605 132114134313210