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132111240131232 = 2532458719583789
BaseRepresentation
bin11110000010011110001011…
…100010011111001010100000
3122022202201012110210022100100
4132002132023202133022200
5114304002304433144412
61144551022121022400
736553502454551115
oct3602361342371240
9568681173708310
10132111240131232
1139105075a1506a
1212998063024a00
13589406221c0cb
14248a30a80a90c
1510417b3484edc
hex78278b89f2a0

132111240131232 has 36 divisors (see below), whose sum is σ = 375691339124010. Its totient is φ = 44037080043648.

The previous prime is 132111240131209. The next prime is 132111240131243. The reversal of 132111240131232 is 232131042111231.

132111240131232 is a `hidden beast` number, since 1 + 3 + 2 + 11 + 12 + 401 + 3 + 1 + 232 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125730382257936 + 6380857873296 = 11212956^2 + 2526036^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 132111240131196 and 132111240131205.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 229359791607 + ... + 229359792182.

Almost surely, 2132111240131232 is an apocalyptic number.

132111240131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132111240131232 is an abundant number, since it is smaller than the sum of its proper divisors (243580098992778).

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

132111240131232 is a wasteful number, since it uses less digits than its factorization.

132111240131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458719583805 (or 458719583794 counting only the distinct ones).

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

Adding to 132111240131232 its reverse (232131042111231), we get a palindrome (364242282242463).

The spelling of 132111240131232 in words is "one hundred thirty-two trillion, one hundred eleven billion, two hundred forty million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 458719583789 917439167578 1376158751367 1834878335156 2752317502734 3669756670312 4128476254101 5504635005468 7339513340624 8256952508202 11009270010936 14679026681248 16513905016404 22018540021872 33027810032808 44037080043744 66055620065616 132111240131232