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132131624191 = 7247224325579
BaseRepresentation
bin111101100001110101…
…0001001010011111111
3110122001110221222021221
41323003222021103333
54131101143433231
6140411143134211
712355226163100
oct1730352112377
9418043858257
10132131624191
1151044947a16
1221736744367
13c5c96b5a18
1465766283a7
153685075d11
hex1ec3a894ff

132131624191 has 24 divisors (see below), whose sum is σ = 157050558720. Its totient is φ = 110792232432.

The previous prime is 132131624179. The next prime is 132131624213. The reversal of 132131624191 is 191426131231.

It is not a de Polignac number, because 132131624191 - 211 = 132131622143 is a prime.

It is a super-2 number, since 2×1321316241912 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131624111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5152840 + ... + 5178418.

It is an arithmetic number, because the mean of its divisors is an integer number (6543773280).

Almost surely, 2132131624191 is an apocalyptic number.

132131624191 is a deficient number, since it is larger than the sum of its proper divisors (24918934529).

132131624191 is a wasteful number, since it uses less digits than its factorization.

132131624191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27883 (or 27876 counting only the distinct ones).

The product of its digits is 7776, while the sum is 34.

The spelling of 132131624191 in words is "one hundred thirty-two billion, one hundred thirty-one million, six hundred twenty-four thousand, one hundred ninety-one".

Divisors: 1 7 47 49 329 2243 2303 15701 25579 105421 109907 179053 737947 1202213 1253371 5165629 8415491 57373697 58908437 401615879 2696563759 2811311153 18875946313 132131624191