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132114441311310 = 2352328324791513
BaseRepresentation
bin11110000010100001001010…
…010110000001010001001110
3122022210000110120101002212110
4132002201022112001101032
5114304030333433430220
61144552311513244450
736553645005254463
oct3602411226012116
9568700416332773
10132114441311310
11391064689a4037
12129987b7103726
1358944524b1ac3
14248a531a2166a
1510418ee517be0
hex78284a58144e

132114441311310 has 48 divisors (see below), whose sum is σ = 331459898921424. Its totient is φ = 33698756040576.

The previous prime is 132114441311299. The next prime is 132114441311387. The reversal of 132114441311310 is 13113144411231.

It is a happy number.

It is a super-2 number, since 2×1321144413113102 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4162379887 + ... + 4162411626.

It is an arithmetic number, because the mean of its divisors is an integer number (6905414560863).

Almost surely, 2132114441311310 is an apocalyptic number.

132114441311310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132114441311310 is an abundant number, since it is smaller than the sum of its proper divisors (199345457610114).

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

132114441311310 is a wasteful number, since it uses less digits than its factorization.

132114441311310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8324791569 (or 8324791546 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 132114441311310 its reverse (13113144411231), we get a palindrome (145227585722541).

The spelling of 132114441311310 in words is "one hundred thirty-two trillion, one hundred fourteen billion, four hundred forty-one million, three hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 529 690 1058 1587 2645 3174 5290 7935 15870 8324791513 16649583026 24974374539 41623957565 49948749078 83247915130 124871872695 191470204799 249743745390 382940409598 574410614397 957351023995 1148821228794 1914702047990 2872053071985 4403814710377 5744106143970 8807629420754 13211444131131 22019073551885 26422888262262 44038147103770 66057220655655 132114441311310