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130031200299 = 37112134339091
BaseRepresentation
bin111100100011001110…
…1101010100000101011
3110102122002122101101110
41321012131222200223
54112300441402144
6135422511521403
712252202652220
oct1710635524053
9412562571343
10130031200299
115016724a400
122124b229263
13c3534a9c50
1464176ab947
1535b09780b9
hex1e4676a82b

130031200299 has 96 divisors (see below), whose sum is σ = 235114173952. Its totient is φ = 62201779200.

The previous prime is 130031200289. The next prime is 130031200307. The reversal of 130031200299 is 992002130031.

It is a happy number.

It is not a de Polignac number, because 130031200299 - 221 = 130029103147 is a prime.

It is a super-2 number, since 2×1300312002992 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130031200259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14298744 + ... + 14307834.

Almost surely, 2130031200299 is an apocalyptic number.

130031200299 is a deficient number, since it is larger than the sum of its proper divisors (105082973653).

130031200299 is a wasteful number, since it uses less digits than its factorization.

130031200299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9569 (or 9558 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The spelling of 130031200299 in words is "one hundred thirty billion, thirty-one million, two hundred thousand, two hundred ninety-nine".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 433 847 1001 1299 1573 2541 3003 3031 4719 4763 5629 9091 9093 11011 14289 16887 27273 33033 33341 39403 52393 61919 63637 100001 100023 118183 118209 157179 185757 190911 300003 354549 366751 433433 681109 700007 827281 1100011 1100253 1300013 1300299 2043327 2100021 2481843 3300033 3900039 3936403 4767763 7700077 9100091 11809209 14300143 14303289 23100231 27300273 27554821 42900429 43300433 51173239 82664463 100101001 129901299 153519717 300303003 303103031 358212673 476304763 562905629 909309093 1074638019 1428914289 1688716887 3334133341 3940339403 6191961919 10002400023 11821018209 18575885757 43343733433 130031200299