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132200224010031 = 32979122315727489
BaseRepresentation
bin11110000011110001000011…
…011001000010111100101111
3122100002012212220122201020010
4132003301003121002330233
5114311432024321310111
61145055540002224303
736563102535211152
oct3603610331027457
9570065786581203
10132200224010031
1139139889001271
12129b1357655093
13589c57367b428
14249074c7a1c99
151043c704e8aa6
hex783c43642f2f

132200224010031 has 32 divisors (see below), whose sum is σ = 184804298496000. Its totient is φ = 83948549787648.

The previous prime is 132200224010027. The next prime is 132200224010039. The reversal of 132200224010031 is 130010422002231.

It is not a de Polignac number, because 132200224010031 - 22 = 132200224010027 is a prime.

It is a super-2 number, since 2×1322002240100312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132200224010039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541935 + ... + 16269423.

It is an arithmetic number, because the mean of its divisors is an integer number (5775134328000).

Almost surely, 2132200224010031 is an apocalyptic number.

132200224010031 is a deficient number, since it is larger than the sum of its proper divisors (52604074485969).

132200224010031 is a wasteful number, since it uses less digits than its factorization.

132200224010031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15728823.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 132200224010031 its reverse (130010422002231), we get a palindrome (262210646012262).

The spelling of 132200224010031 in words is "one hundred thirty-two trillion, two hundred billion, two hundred twenty-four million, ten thousand, thirty-one".

Divisors: 1 3 29 79 87 237 1223 2291 3669 6873 35467 96617 106401 289851 2801893 8405679 15727489 47182467 456097181 1242471631 1368291543 3727414893 19234719047 36031677299 57704157141 108095031897 557806852363 1519542804713 1673420557089 4558628414139 44066741336677 132200224010031