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13114134020403 = 32131753639719447
BaseRepresentation
bin1011111011010101111101…
…0011001100000100110011
31201102200212112210111112100
42332311133103030010303
53204330221302123103
643520314444431443
72522315315642433
oct276653723140463
951380775714470
1013114134020403
1141a6744851599
121579734b48583
1374187179c430
14334a282882c3
1517b1de6795a3
hexbed5f4cc133

13114134020403 has 96 divisors (see below), whose sum is σ = 22011864690816. Its totient is φ = 7450656804864.

The previous prime is 13114134020387. The next prime is 13114134020441. The reversal of 13114134020403 is 30402043141131.

13114134020403 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 413 + 40 + 204 + 0 + 3 = 666.

It is not a de Polignac number, because 13114134020403 - 24 = 13114134020387 is a prime.

It is a super-3 number, since 3×131141340204033 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13114134020003) 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, 674342826 + ... + 674362272.

It is an arithmetic number, because the mean of its divisors is an integer number (229290257196).

Almost surely, 213114134020403 is an apocalyptic number.

13114134020403 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13114134020403 is a deficient number, since it is larger than the sum of its proper divisors (8897730670413).

13114134020403 is a wasteful number, since it uses less digits than its factorization.

13114134020403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25933 (or 25930 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13114134020403 its reverse (30402043141131), we get a palindrome (43516177161534).

The spelling of 13114134020403 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty-four million, twenty thousand, four hundred three".

Divisors: 1 3 9 13 17 39 51 53 117 153 159 221 477 663 689 901 1989 2067 2703 6201 6397 8109 11713 19191 19447 35139 57573 58341 83161 105417 108749 175023 249483 252811 326247 330599 339041 748449 758433 978741 991797 1017123 1030691 1413737 2275299 2975391 3051369 3092073 4241211 4297787 4407533 5763697 9276219 12723633 12893361 13222599 13398983 17291091 17521747 38680083 39667797 40196949 51873273 52565241 74928061 120590847 124402459 157695723 224784183 227782711 373207377 674352549 683348133 1119622131 1617231967 2050044399 2114841803 4851695901 6344525409 6593330327 14555087703 19033576227 19779990981 27492943439 59339972943 82478830317 85713294251 112086615559 247436490951 257139882753 336259846677 771419648259 1008779540031 1457126002267 4371378006801 13114134020403