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13021131130110 = 235515541344797
BaseRepresentation
bin1011110101111011011111…
…1001010100010011111110
31201002210211000110011100000
42331132313321110103332
53201314234032130420
643405454114015130
72512513524264615
oct275366771242376
951083730404300
1013021131130110
11417025a076594
1215636ba5774a6
13735b6c7c31bc
1433032463087c
15178a99887690
hexbd7b7e544fe

13021131130110 has 96 divisors (see below), whose sum is σ = 35111188580832. Its totient is φ = 3472068136320.

The previous prime is 13021131130081. The next prime is 13021131130127. The reversal of 13021131130110 is 1103113112031.

13021131130110 is a `hidden beast` number, since 1 + 3 + 0 + 211 + 311 + 30 + 110 = 666.

It is a super-2 number, since 2×130211311301102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37592232 + ... + 37937028.

It is an arithmetic number, because the mean of its divisors is an integer number (365741547717).

Almost surely, 213021131130110 is an apocalyptic number.

13021131130110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13021131130110 is an abundant number, since it is smaller than the sum of its proper divisors (22090057450722).

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

13021131130110 is a wasteful number, since it uses less digits than its factorization.

13021131130110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360360 (or 360348 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13021131130110 its reverse (1103113112031), we get a palindrome (14124244242141).

The spelling of 13021131130110 in words is "thirteen trillion, twenty-one billion, one hundred thirty-one million, one hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 15541 31082 46623 77705 93246 139869 155410 233115 279738 344797 419607 466230 689594 699345 839214 1034391 1258821 1398690 1723985 2068782 2098035 2517642 3103173 3447970 3776463 4196070 5171955 6206346 6294105 7552926 9309519 10343910 12588210 15515865 18619038 18882315 27928557 31031730 37764630 46547595 55857114 83785671 93095190 139642785 167571342 279285570 418928355 837856710 5358490177 10716980354 16075470531 26792450885 32150941062 48226411593 53584901770 80377352655 96452823186 144679234779 160754705310 241132057965 289358469558 434037704337 482264115930 723396173895 868075408674 1302113113011 1446792347790 2170188521685 2604226226022 4340377043370 6510565565055 13021131130110