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3130121313 = 341119238039
BaseRepresentation
bin1011101010010001…
…1101110001100001
322002010212122020000
42322210131301201
522402302340223
61234333210213
7140365410054
oct27244356141
98063778200
103130121313
111366965520
12734330969
133ab6432b7
142199d8a9b
15134be8543
hexba91dc61

3130121313 has 80 divisors (see below), whose sum is σ = 5603558400. Its totient is φ = 1718845920.

The previous prime is 3130121303. The next prime is 3130121339. The reversal of 3130121313 is 3131210313.

It is a happy number.

3130121313 is a `hidden beast` number, since 31 + 301 + 21 + 313 = 666.

3130121313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3130121313 - 26 = 3130121249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3130121303) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 385348 + ... + 393386.

It is an arithmetic number, because the mean of its divisors is an integer number (70044480).

Almost surely, 23130121313 is an apocalyptic number.

3130121313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3130121313 is a deficient number, since it is larger than the sum of its proper divisors (2473437087).

3130121313 is a wasteful number, since it uses less digits than its factorization.

3130121313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8104 (or 8095 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3130121313 is about 55947.4871017457. The cubic root of 3130121313 is about 1462.8070897547.

Adding to 3130121313 its reverse (3131210313), we get a palindrome (6261331626).

The spelling of 3130121313 in words is "three billion, one hundred thirty million, one hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 9 11 19 23 27 33 57 69 81 99 171 207 209 253 297 437 513 621 627 759 891 1311 1539 1863 1881 2277 3933 4807 5643 6831 8039 11799 14421 16929 20493 24117 35397 43263 72351 88429 129789 152741 184897 217053 265287 389367 458223 554691 651159 795861 1374669 1664073 1680151 2033867 2387583 3513043 4124007 4992219 5040453 6101601 7162749 10539129 12372021 14976657 15121359 18304803 31617387 38643473 45364077 54914409 94852161 115930419 136092231 164743227 284556483 347791257 1043373771 3130121313