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81835132731 = 31121911865323
BaseRepresentation
bin100110000110111000…
…0010000011100111011
321211020020020110211220
41030031300100130323
52320044243221411
6101332230523123
75624644102542
oct1141560203473
9254206213756
1081835132731
1131784887500
1213a3a5064a3
1379423a6181
143d64799159
1521de666b06
hex130dc1073b

81835132731 has 24 divisors (see below), whose sum is σ = 126247047360. Its totient is φ = 46986675120.

The previous prime is 81835132723. The next prime is 81835132849. The reversal of 81835132731 is 13723153818.

It is a happy number.

It is not a de Polignac number, because 81835132731 - 23 = 81835132723 is a prime.

It is a super-2 number, since 2×818351327312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81835132711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5925765 + ... + 5939558.

It is an arithmetic number, because the mean of its divisors is an integer number (5260293640).

Almost surely, 281835132731 is an apocalyptic number.

81835132731 is a deficient number, since it is larger than the sum of its proper divisors (44411914629).

81835132731 is a wasteful number, since it uses less digits than its factorization.

81835132731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11865367 (or 11865356 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The spelling of 81835132731 in words is "eighty-one billion, eight hundred thirty-five million, one hundred thirty-two thousand, seven hundred thirty-one".

Divisors: 1 3 11 19 33 57 121 209 363 627 2299 6897 11865323 35595969 130518553 225441137 391555659 676323411 1435704083 2479852507 4307112249 7439557521 27278377577 81835132731