Search a number
-
+
130061556612 = 2232131511840459
BaseRepresentation
bin111100100100001000…
…1011101101110000100
3110102201012202122102100
41321020101131232010
54112331224302422
6135425514312100
712253021663461
oct1711021355604
9412635678370
10130061556612
11501823a3569
1221259428630
13c359878170
14641b730668
1535b34727ac
hex1e4845db84

130061556612 has 72 divisors (see below), whose sum is σ = 356401398080. Its totient is φ = 39753892800.

The previous prime is 130061556589. The next prime is 130061556619. The reversal of 130061556612 is 216655160031.

130061556612 is a `hidden beast` number, since 1 + 30 + 0 + 6 + 1 + 5 + 5 + 6 + 612 = 666.

130061556612 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130061556619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 849562 + ... + 990897.

Almost surely, 2130061556612 is an apocalyptic number.

130061556612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130061556612 is an abundant number, since it is smaller than the sum of its proper divisors (226339841468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130061556612 is a wasteful number, since it uses less digits than its factorization.

130061556612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840633 (or 1840628 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 130061556612 in words is "one hundred thirty billion, sixty-one million, five hundred fifty-six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 151 156 234 302 453 468 604 906 1359 1812 1963 2718 3926 5436 5889 7852 11778 17667 23556 35334 70668 1840459 3680918 5521377 7361836 11042754 16564131 22085508 23925967 33128262 47851934 66256524 71777901 95703868 143555802 215333703 277909309 287111604 430667406 555818618 833727927 861334812 1111637236 1667455854 2501183781 3334911708 3612821017 5002367562 7225642034 10004735124 10838463051 14451284068 21676926102 32515389153 43353852204 65030778306 130061556612