Search a number
-
+
130552646255031 = 37112133952188607
BaseRepresentation
bin11101101011110010101000…
…000110101100000110110111
3122010020201012101102212002210
4131223302220012230012313
5114102433304420130111
61141355020245104503
736333055164314130
oct3553625006540667
9563221171385083
10130552646255031
1138664080346300
1212785b890b8133
1357b00a578c550
142434ad3354c87
151015e9203c0a6
hex76bca81ac1b7

130552646255031 has 48 divisors (see below), whose sum is σ = 235487206019072. Its totient is φ = 62602667519040.

The previous prime is 130552646255027. The next prime is 130552646255123.

130552646255031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130552646255031 - 22 = 130552646255027 is a prime.

It is a super-2 number, since 2×1305526462550312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130552646205031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1976061271 + ... + 1976127336.

Almost surely, 2130552646255031 is an apocalyptic number.

130552646255031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130552646255031 is a deficient number, since it is larger than the sum of its proper divisors (104934559764041).

130552646255031 is a wasteful number, since it uses less digits than its factorization.

130552646255031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952188652 (or 3952188641 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 130552646255031 in words is "one hundred thirty trillion, five hundred fifty-two billion, six hundred forty-six million, two hundred fifty-five thousand, thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1573 2541 3003 4719 11011 33033 3952188607 11856565821 27665320249 43474074677 51378451891 82995960747 130422224031 154135355673 304318522739 359649163237 478214821447 565162970801 912955568217 1078947489711 1434644464341 1695488912403 3347503750129 3956140795607 6216792678811 10042511250387 11868422386821 18650378036433 43517548751677 130552646255031