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11113123131 = 361171131149
BaseRepresentation
bin10100101100110010…
…01100110100111011
31001200111022011000000
422112121030310323
5140224424420011
65034424444043
7542251662615
oct122631146473
931614264000
1011113123131
114793082990
1221a1919623
1310814b4406
14775d19db5
15450987356
hex29664cd3b

11113123131 has 112 divisors (see below), whose sum is σ = 18698169600. Its totient is φ = 6545448000.

The previous prime is 11113123129. The next prime is 11113123171. The reversal of 11113123131 is 13132131111.

It is not a de Polignac number, because 11113123131 - 21 = 11113123129 is a prime.

It is a super-2 number, since 2×111131231312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11113123171) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 74584645 + ... + 74584793.

Almost surely, 211113123131 is an apocalyptic number.

11113123131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11113123131 is a deficient number, since it is larger than the sum of its proper divisors (7585046469).

11113123131 is a wasteful number, since it uses less digits than its factorization.

11113123131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

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

Adding to 11113123131 its reverse (13132131111), we get a palindrome (24245254242).

The spelling of 11113123131 in words is "eleven billion, one hundred thirteen million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 71 81 99 131 149 213 243 297 393 447 639 729 781 891 1179 1341 1441 1639 1917 2343 2673 3537 4023 4323 4917 5751 7029 8019 9301 10579 10611 12069 12969 14751 17253 19519 21087 27903 31737 31833 36207 38907 44253 51759 58557 63261 83709 95211 95499 102311 108621 116369 116721 132759 175671 189783 214709 251127 285633 306933 349107 350163 398277 527013 569349 644127 753381 856899 920799 1047321 1050489 1194831 1385849 1581039 1932381 2260143 2570697 2762397 3141963 4157547 4743117 5797143 6780429 7712091 8287191 9425889 12472641 14229351 15244339 17391429 24861573 28277667 37417923 45733017 52174287 74584719 84833001 112253769 137199051 156522861 336761307 411597153 1010283921 1234791459 3704374377 11113123131