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132232221313029 = 3264193724462293
BaseRepresentation
bin11110000100001110110110…
…100101000100100000000101
3122100012021110212020010020100
4132010032312211010200011
5114312443042124004104
61145122351023354313
736565314466616625
oct3604166645044005
9570167425203210
10132232221313029
113915140870a632
12129b75a7452999
1358a25a2785106
1424921061a2885
1510449e4651139
hex7843b6944805

132232221313029 has 24 divisors (see below), whose sum is σ = 191504242769112. Its totient is φ = 87923348398080.

The previous prime is 132232221313001. The next prime is 132232221313033. The reversal of 132232221313029 is 920313122232231.

132232221313029 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 322 + 21 + 3 + 1 + 302 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4135142585025 + 128097078728004 = 2033505^2 + 11317998^2 .

It is not a de Polignac number, because 132232221313029 - 213 = 132232221304837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132232221312984 and 132232221313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132232221313529) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6825594 + ... + 17636699.

It is an arithmetic number, because the mean of its divisors is an integer number (7979343448713).

Almost surely, 2132232221313029 is an apocalyptic number.

It is an amenable number.

132232221313029 is a deficient number, since it is larger than the sum of its proper divisors (59272021456083).

132232221313029 is a wasteful number, since it uses less digits than its factorization.

132232221313029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24463877 (or 24463874 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 132232221313029 in words is "one hundred thirty-two trillion, two hundred thirty-two billion, two hundred twenty-one million, three hundred thirteen thousand, twenty-nine".

Divisors: 1 3 9 641 937 1923 2811 5769 8433 600617 1801851 5405553 24462293 73386879 220160637 15680329813 22921168541 47040989439 68763505623 141122968317 206290516869 14692469034781 44077407104343 132232221313029