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132120324000031 = 2393137176220817
BaseRepresentation
bin11110000010100110101000…
…111110101100100100011111
3122022210120122112200122201111
4132002212220332230210133
5114304124410421000111
61144555123335522451
736554243536300453
oct3602465076544437
9568716575618644
10132120324000031
1139108a0758a154
1212999979229427
135894b7c1856c3
14248a92d014663
151041b45bcba21
hex7829a8fac91f

132120324000031 has 8 divisors (see below), whose sum is σ = 132715422452160. Its totient is φ = 131525577996288.

The previous prime is 132120324000023. The next prime is 132120324000061. The reversal of 132120324000031 is 130000423021231.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132120324000031 - 23 = 132120324000023 is a prime.

It is a super-3 number, since 3×1321203240000313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132120323999966 and 132120324000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132120324000001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87360666 + ... + 88860151.

It is an arithmetic number, because the mean of its divisors is an integer number (16589427806520).

Almost surely, 2132120324000031 is an apocalyptic number.

132120324000031 is a deficient number, since it is larger than the sum of its proper divisors (595098452129).

132120324000031 is a wasteful number, since it uses less digits than its factorization.

132120324000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176224193.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 132120324000031 its reverse (130000423021231), we get a palindrome (262120747021262).

The spelling of 132120324000031 in words is "one hundred thirty-two trillion, one hundred twenty billion, three hundred twenty-four million, thirty-one", and thus it is an aban number.

Divisors: 1 239 3137 749743 176220817 42116775263 552804702929 132120324000031