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107080300431 = 3313539759341
BaseRepresentation
bin110001110111001111…
…0111011011110001111
3101020101121110212112000
41203232132323132033
53223300024103211
6121105250243343
710510356351546
oct1435636733617
9336347425460
10107080300431
114145a046665
1218904b86553
13a13664c720
14527b52115d
152bbab16656
hex18ee7bb78f

107080300431 has 64 divisors (see below), whose sum is σ = 175861203840. Its totient is φ = 63984660480.

The previous prime is 107080300423. The next prime is 107080300477. The reversal of 107080300431 is 134003080701.

It is not a de Polignac number, because 107080300431 - 23 = 107080300423 is a prime.

It is a super-2 number, since 2×1070803004312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107080300395 and 107080300404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107080300631) 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, 1774821 + ... + 1834161.

It is an arithmetic number, because the mean of its divisors is an integer number (2747831310).

Almost surely, 2107080300431 is an apocalyptic number.

107080300431 is a deficient number, since it is larger than the sum of its proper divisors (68780903409).

107080300431 is a wasteful number, since it uses less digits than its factorization.

107080300431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59513 (or 59507 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 107080300431 in words is "one hundred seven billion, eighty million, three hundred thousand, four hundred thirty-one".

Divisors: 1 3 9 13 27 39 53 97 117 159 291 351 477 689 873 1261 1431 2067 2619 3783 5141 6201 11349 15423 18603 34047 46269 59341 66833 138807 178023 200499 534069 601497 771433 1602207 1804491 2314299 3145073 5756077 6942897 9435219 17268231 20828691 28305657 40885949 51804693 74829001 84916971 122657847 155414079 224487003 305072081 367973541 673461009 915216243 1103920623 2020383027 2745648729 3965937053 8236946187 11897811159 35693433477 107080300431