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131331132310 = 25721395213701
BaseRepresentation
bin111101001001111110…
…0100000101110010110
3110112222200200202212111
41322103330200232112
54122431232213220
6140155505541234
712326336130400
oct1722374405626
9415880622774
10131331132310
1150774000584
122155264481a
13c4cc8bcca1
1464dc1b1b70
153639b5315a
hex1e93f20b96

131331132310 has 96 divisors (see below), whose sum is σ = 277576256160. Its totient is φ = 44606016000.

The previous prime is 131331132301. The next prime is 131331132323. The reversal of 131331132310 is 13231133131.

It is a super-2 number, since 2×1313311323102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35483460 + ... + 35487160.

It is an arithmetic number, because the mean of its divisors is an integer number (2891419335).

Almost surely, 2131331132310 is an apocalyptic number.

131331132310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131331132310 is an abundant number, since it is smaller than the sum of its proper divisors (146245123850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131331132310 is a wasteful number, since it uses less digits than its factorization.

131331132310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 131331132310 its reverse (13231133131), we get a palindrome (144562265441).

The spelling of 131331132310 in words is "one hundred thirty-one billion, three hundred thirty-one million, one hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 139 245 278 490 521 695 973 1042 1390 1946 2605 3647 3701 4865 5210 6811 7294 7402 9730 13622 18235 18505 25529 25907 34055 36470 37010 51058 51814 68110 72419 127645 129535 144838 181349 255290 259070 362095 362698 506933 514439 724190 906745 1013866 1028878 1813490 1928221 2534665 2572195 3548531 3601073 3856442 5069330 5144390 7097062 7202146 9641105 13497547 17742655 18005365 19282210 25207511 26995094 35485310 36010730 50415022 67487735 94482829 126037555 134975470 188965658 252075110 268022719 472414145 536045438 944828290 1340113595 1876159033 2680227190 3752318066 9380795165 13133113231 18761590330 26266226462 65665566155 131331132310