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13029109404157 = 7112312516912861
BaseRepresentation
bin1011110110011001001101…
…1100000001000111111101
31201010120102000222110211101
42331212103130001013331
53201432104001413112
643413253520053101
72513215322430040
oct275462334010775
951116360873741
1013029109404157
114173683654a00
121565166464191
1373684169a412
14330880080c57
15178db4ee0757
hexbd9937011fd

13029109404157 has 96 divisors (see below), whose sum is σ = 16992914448384. Its totient is φ = 9768330000000.

The previous prime is 13029109404149. The next prime is 13029109404191. The reversal of 13029109404157 is 75140490192031.

It is not a de Polignac number, because 13029109404157 - 23 = 13029109404149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13029109404457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4554038907 + ... + 4554041767.

It is an arithmetic number, because the mean of its divisors is an integer number (177009525504).

Almost surely, 213029109404157 is an apocalyptic number.

It is an amenable number.

13029109404157 is a deficient number, since it is larger than the sum of its proper divisors (3963805044227).

13029109404157 is a wasteful number, since it uses less digits than its factorization.

13029109404157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3863 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

Adding to 13029109404157 its reverse (75140490192031), we get a palindrome (88169599596188).

The spelling of 13029109404157 in words is "thirteen trillion, twenty-nine billion, one hundred nine million, four hundred four thousand, one hundred fifty-seven".

Divisors: 1 7 11 31 77 121 217 251 341 691 847 1757 2387 2761 2861 3751 4837 7601 7781 19327 20027 21421 26257 30371 31471 53207 54467 83611 85591 88691 149947 173441 212597 220297 235631 346181 585277 599137 620837 718111 941501 975601 1214087 1649417 1907851 1976951 2423267 2591941 5026777 5376671 6590507 6829207 7899221 10731611 13354957 13838657 18143587 20986361 21746461 22261441 37636697 55294547 59143381 61285481 75121277 86891431 146904527 152225227 155830087 239211071 244875851 414003667 428998367 496214701 608240017 650577191 674140291 1674477497 1714130957 2693634361 3473502907 4554040337 4718982037 5458361711 7415543201 15382655731 18855440527 38208531977 51908802407 60041978821 107678590117 169209213041 420293851747 1184464491287 1861301343451 13029109404157