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132113434343130 = 23251467927048257
BaseRepresentation
bin11110000010100000001110…
…010100101111011011011010
3122022202220212101120211012200
4132002200032110233123122
5114304021303142440010
61144552023542351030
736553611030212262
oct3602401624573332
9568686771524180
10132113434343130
1139105aa1550a29
1212998575a2b476
1358943219a5046
14248a477dbc7a2
151041890e0bcc0
hex78280e52f6da

132113434343130 has 24 divisors (see below), whose sum is σ = 343494929292372. Its totient is φ = 35230249158144.

The previous prime is 132113434343101. The next prime is 132113434343147. The reversal of 132113434343130 is 31343434311231.

132113434343130 is a `hidden beast` number, since 1 + 3 + 2 + 113 + 43 + 43 + 431 + 30 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129216123124929 + 2897311218201 = 11367327^2 + 1702149^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 733963524039 + ... + 733963524218.

Almost surely, 2132113434343130 is an apocalyptic number.

132113434343130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132113434343130 is an abundant number, since it is smaller than the sum of its proper divisors (211381494949242).

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

132113434343130 is a wasteful number, since it uses less digits than its factorization.

132113434343130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467927048270 (or 1467927048267 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 132113434343130 its reverse (31343434311231), we get a palindrome (163456868654361).

The spelling of 132113434343130 in words is "one hundred thirty-two trillion, one hundred thirteen billion, four hundred thirty-four million, three hundred forty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1467927048257 2935854096514 4403781144771 7339635241285 8807562289542 13211343434313 14679270482570 22018905723855 26422686868626 44037811447710 66056717171565 132113434343130