Search a number
-
+
130835247237 = 32401327111083
BaseRepresentation
bin111100111011001100…
…0110111000010000101
3110111201010121012102200
41321312120313002011
54120422310402422
6140034353225113
712311135152332
oct1716630670205
9414633535380
10130835247237
115053a0a4802
1221434562199
13c450c48b76
1464923ab989
15360b34e2ac
hex1e76637085

130835247237 has 24 divisors (see below), whose sum is σ = 189530547648. Its totient is φ = 86971536000.

The previous prime is 130835247233. The next prime is 130835247247. The reversal of 130835247237 is 732742538031.

It is a happy number.

130835247237 is a `hidden beast` number, since 13 + 0 + 83 + 524 + 7 + 2 + 37 = 666.

It is not a de Polignac number, because 130835247237 - 22 = 130835247233 is a prime.

It is a super-2 number, since 2×1308352472372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130835247192 and 130835247201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130835247233) 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 23 ways as a sum of consecutive naturals, for example, 11799498 + ... + 11810580.

It is an arithmetic number, because the mean of its divisors is an integer number (7897106152).

Almost surely, 2130835247237 is an apocalyptic number.

It is an amenable number.

130835247237 is a deficient number, since it is larger than the sum of its proper divisors (58695300411).

130835247237 is a wasteful number, since it uses less digits than its factorization.

130835247237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14761 (or 14758 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 130835247237 in words is "one hundred thirty billion, eight hundred thirty-five million, two hundred forty-seven thousand, two hundred thirty-seven".

Divisors: 1 3 9 401 1203 3271 3609 9813 11083 29439 33249 99747 1311671 3935013 4444283 11805039 13332849 36252493 39998547 108757479 326272437 14537249693 43611749079 130835247237