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13141024421130 = 2335192561603201
BaseRepresentation
bin1011111100111010001000…
…0101111011010100001010
31201112021021120211101122000
42333032202011323110022
53210300304222434010
643540523035211430
72524256556403254
oct277164205732412
951467246741560
1013141024421130
114207093777671
12158299a5a6b76
13744268858158
1433605971acd4
1517bc652b07c0
hexbf3a217b50a

13141024421130 has 64 divisors (see below), whose sum is σ = 36887086108800. Its totient is φ = 3319837747200.

The previous prime is 13141024421101. The next prime is 13141024421131. The reversal of 13141024421130 is 3112442014131.

It is a happy number.

13141024421130 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 102 + 4 + 421 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13141024421094 and 13141024421103.

It is not an unprimeable number, because it can be changed into a prime (13141024421131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1280796471 + ... + 1280806730.

It is an arithmetic number, because the mean of its divisors is an integer number (576360720450).

Almost surely, 213141024421130 is an apocalyptic number.

13141024421130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13141024421130 is an abundant number, since it is smaller than the sum of its proper divisors (23746061687670).

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

13141024421130 is a wasteful number, since it uses less digits than its factorization.

13141024421130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561603236 (or 2561603230 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13141024421130 its reverse (3112442014131), we get a palindrome (16253466435261).

The spelling of 13141024421130 in words is "thirteen trillion, one hundred forty-one billion, twenty-four million, four hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 2561603201 5123206402 7684809603 12808016005 15369619206 23054428809 25616032010 38424048015 46108857618 48670460819 69163286427 76848096030 97340921638 115272144045 138326572854 146011382457 230544288090 243352304095 292022764914 345816432135 438034147371 486704608190 691632864270 730056912285 876068294742 1314102442113 1460113824570 2190170736855 2628204884226 4380341473710 6570512210565 13141024421130