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11133312402331 = 719596189261337
BaseRepresentation
bin1010001000000010110100…
…1000011000001110011011
31110102100000200110101201001
42202000231020120032123
52424402010433333311
635402323443005431
72226232600666330
oct242005510301633
943370020411631
1011133312402331
11360267a673a29
1212b9863969877
13629b36631062
142a6bd8928987
1514490a2204c1
hexa202d21839b

11133312402331 has 64 divisors (see below), whose sum is σ = 13999353984000. Its totient is φ = 8643405957120.

The previous prime is 11133312402307. The next prime is 11133312402341. The reversal of 11133312402331 is 13320421333111.

It is a cyclic number.

It is not a de Polignac number, because 11133312402331 - 217 = 11133312271259 is a prime.

It is a super-2 number, since 2×111333124023312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11133312402331.

It is not an unprimeable number, because it can be changed into a prime (11133312402341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42470695 + ... + 42732031.

It is an arithmetic number, because the mean of its divisors is an integer number (218739906000).

Almost surely, 211133312402331 is an apocalyptic number.

11133312402331 is a deficient number, since it is larger than the sum of its proper divisors (2866041581669).

11133312402331 is a wasteful number, since it uses less digits than its factorization.

11133312402331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261572.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 11133312402331 its reverse (13320421333111), we get a palindrome (24453733735442).

The spelling of 11133312402331 in words is "eleven trillion, one hundred thirty-three billion, three hundred twelve million, four hundred two thousand, three hundred thirty-one".

Divisors: 1 7 19 59 61 89 133 413 427 623 1121 1159 1691 3599 5251 5429 7847 8113 11837 25193 36757 38003 68381 99769 103151 261337 320311 478667 698383 722057 1829359 2242177 4965403 6085909 15418883 15941557 23258993 34757821 42601363 107932181 111590899 162812951 292958777 302889583 441920867 940551863 1372280587 1418798573 2050711439 2120227081 3093446069 6583863041 9605964109 9931590011 17870485397 26073331153 26957172887 83709115807 125093397779 182513318071 188700210209 585963810649 1590473200333 11133312402331