Search a number
-
+
132262530133146 = 2373149107860313
BaseRepresentation
bin11110000100101011000101…
…001000000010110010011010
3122100022011201010121201011120
4132010223011020002302122
5114313442130203230041
61145144322330510110
736600436536421650
oct3604530510026232
9570264633551146
10132262530133146
11391632512017a6
1212a01445895336
1358a53c2b157ba
14249377d638dd0
1510456ba42c366
hex784ac5202c9a

132262530133146 has 16 divisors (see below), whose sum is σ = 302314354590144. Its totient is φ = 37789294323744.

The previous prime is 132262530133121. The next prime is 132262530133169. The reversal of 132262530133146 is 641331035262231.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 3149107860313 = 132262530133146 / (1 + 3 + 2 + 2 + 6 + 2 + 5 + 3 + 0 + 1 + 3 + 3 + 1 + 4 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 132262530133098 and 132262530133107.

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 7 ways as a sum of consecutive naturals, for example, 1574553930115 + ... + 1574553930198.

It is an arithmetic number, because the mean of its divisors is an integer number (18894647161884).

Almost surely, 2132262530133146 is an apocalyptic number.

132262530133146 is an abundant number, since it is smaller than the sum of its proper divisors (170051824456998).

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

132262530133146 is a wasteful number, since it uses less digits than its factorization.

132262530133146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149107860325.

The product of its (nonzero) digits is 466560, while the sum is 42.

Adding to 132262530133146 its reverse (641331035262231), we get a palindrome (773593565395377).

The spelling of 132262530133146 in words is "one hundred thirty-two trillion, two hundred sixty-two billion, five hundred thirty million, one hundred thirty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 3149107860313 6298215720626 9447323580939 18894647161878 22043755022191 44087510044382 66131265066573 132262530133146