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11140311021 = 37173195683
BaseRepresentation
bin10100110000000001…
…11010011111101101
31001202101110102202220
422120000322133231
5140303404423041
65041235305553
7543032036610
oct123000723755
931671412686
1011140311021
1147a7462614
1221aaa4b2b9
131087013418
14779796177
15453057d66
hex29803a7ed

11140311021 has 64 divisors (see below), whose sum is σ = 18989107200. Its totient is φ = 5675090688.

The previous prime is 11140310861. The next prime is 11140311079. The reversal of 11140311021 is 12011304111.

11140311021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11140311021 - 223 = 11131922413 is a prime.

It is a super-2 number, since 2×111403110212 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140310021) 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, 1957446 + ... + 1963128.

It is an arithmetic number, because the mean of its divisors is an integer number (296704800).

Almost surely, 211140311021 is an apocalyptic number.

It is an amenable number.

11140311021 is a deficient number, since it is larger than the sum of its proper divisors (7848796179).

11140311021 is an equidigital number, since it uses as much as digits as its factorization.

11140311021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5763 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11140311021 its reverse (12011304111), we get a palindrome (23151615132).

The spelling of 11140311021 in words is "eleven billion, one hundred forty million, three hundred eleven thousand, twenty-one".

Divisors: 1 3 7 17 19 21 51 57 119 133 289 323 357 399 867 969 2023 2261 4913 5491 5683 6069 6783 14739 16473 17049 34391 38437 39781 93347 96611 103173 107977 115311 119343 280041 289833 323931 653429 676277 755839 1642387 1835609 1960287 2028831 2267517 4927161 5506827 11496709 12849263 27920579 31205353 34490127 38547789 83761737 93616059 195444053 218437471 530491001 586332159 655312413 1591473003 3713437007 11140311021