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11313135351 = 337197311977
BaseRepresentation
bin10101000100101000…
…01011111011110111
31002012102122211012000
422202110023323313
5141132130312401
65110331430343
7550231030620
oct124224137367
932172584160
1011313135351
114885a74041
1222388b53b3
1310b3a7413b
14794702a47
154632e5186
hex2a250bef7

11313135351 has 64 divisors (see below), whose sum is σ = 19333416960. Its totient is φ = 6404590080.

The previous prime is 11313135343. The next prime is 11313135391. The reversal of 11313135351 is 15353131311.

It is a happy number.

11313135351 is a `hidden beast` number, since 113 + 1 + 3 + 13 + 535 + 1 = 666.

It is not a de Polignac number, because 11313135351 - 23 = 11313135343 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313135331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11578975 + ... + 11579951.

It is an arithmetic number, because the mean of its divisors is an integer number (302084640).

Almost surely, 211313135351 is an apocalyptic number.

11313135351 is a deficient number, since it is larger than the sum of its proper divisors (8020281609).

11313135351 is a wasteful number, since it uses less digits than its factorization.

11313135351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1495 counting only the distinct ones).

The product of its digits is 2025, while the sum is 27.

Adding to 11313135351 its reverse (15353131311), we get a palindrome (26666266662).

The spelling of 11313135351 in words is "eleven billion, three hundred thirteen million, one hundred thirty-five thousand, three hundred fifty-one".

Divisors: 1 3 7 9 21 27 63 189 197 311 591 933 977 1379 1773 2177 2799 2931 4137 5319 6531 6839 8397 8793 12411 19593 20517 26379 37233 58779 61267 61551 183801 184653 192469 303847 428869 551403 577407 911541 1286607 1347283 1654209 1732221 2126929 2734623 3859821 4041849 5196663 6380787 8203869 11579463 12125547 19142361 36376641 57427083 59857859 179573577 419005013 538720731 1257015039 1616162193 3771045117 11313135351