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132441431031 = 32713682723687
BaseRepresentation
bin111101101011000011…
…1111101101111110111
3110122212001220210101100
41323112013331233313
54132220001243111
6140502011301143
712366010406040
oct1732607755767
9418761823340
10132441431031
115119380a428
122180244a7b3
13c648938490
1465a58318c7
1536a2370756
hex1ed61fdbf7

132441431031 has 48 divisors (see below), whose sum is σ = 235495862784. Its totient is φ = 69846034752.

The previous prime is 132441430991. The next prime is 132441431039. The reversal of 132441431031 is 130134144231.

It is not a de Polignac number, because 132441431031 - 210 = 132441430007 is a prime.

It is a super-2 number, since 2×1324414310312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132441430986 and 132441431004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132441431039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5579470 + ... + 5603156.

It is an arithmetic number, because the mean of its divisors is an integer number (4906163808).

Almost surely, 2132441431031 is an apocalyptic number.

132441431031 is a deficient number, since it is larger than the sum of its proper divisors (103054431753).

132441431031 is a wasteful number, since it uses less digits than its factorization.

132441431031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30540 (or 30537 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 132441431031 its reverse (130134144231), we get a palindrome (262575575262).

The spelling of 132441431031 in words is "one hundred thirty-two billion, four hundred forty-one million, four hundred thirty-one thousand, thirty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 6827 20481 23687 47789 61443 71061 88751 143367 165809 213183 266253 307931 430101 497427 621257 798759 923793 1492281 1863771 2155517 2771379 5591313 6466551 19399653 161711149 485133447 1131978043 1455400341 2102244937 3395934129 6306734811 10187802387 14715714559 18920204433 44147143677 132441431031