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113435006529 = 31331971039391
BaseRepresentation
bin110100110100101000…
…0001101011001000001
3101211210110222101111010
41221221100031121001
53324303330202104
6124040013511133
711124011434515
oct1515120153101
9354713871433
10113435006529
1144120116389
1219b991a24a9
13a90a05b750
1456c14a4145
152e3d967489
hex1a6940d641

113435006529 has 64 divisors (see below), whose sum is σ = 171536089088. Its totient is φ = 66201753600.

The previous prime is 113435006507. The next prime is 113435006551. The reversal of 113435006529 is 925600534311.

It is an interprime number because it is at equal distance from previous prime (113435006507) and next prime (113435006551).

It is not a de Polignac number, because 113435006529 - 211 = 113435004481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113435005529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12074424 + ... + 12083814.

It is an arithmetic number, because the mean of its divisors is an integer number (2680251392).

Almost surely, 2113435006529 is an apocalyptic number.

It is an amenable number.

113435006529 is a deficient number, since it is larger than the sum of its proper divisors (58101082559).

113435006529 is a wasteful number, since it uses less digits than its factorization.

113435006529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9638.

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 113435006529 in words is "one hundred thirteen billion, four hundred thirty-five million, six thousand, five hundred twenty-nine".

Divisors: 1 3 13 31 39 93 97 103 291 309 403 1209 1261 1339 3007 3193 3783 4017 9021 9391 9579 9991 28173 29973 39091 41509 117273 122083 124527 129883 291121 309721 366249 389649 873363 910927 929163 967273 2732781 2901819 3784573 4026373 11353719 11842051 12079119 12574549 28238737 29985463 35526153 37723647 84716211 89956389 93825481 281476443 367103581 389811019 1101310743 1169433057 1219731253 2908589911 3659193759 8725769733 37811668843 113435006529