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11141212313 = 71159109149151
BaseRepresentation
bin10100110000001000…
…10110100010011001
31001202110011020010002
422120010112202121
5140304122243223
65041310502345
7543042512360
oct123004264231
931673136102
1011141212313
1147a7a18790
1221ab2049b5
13108726a72a
1477994c7d7
15453184e28
hex298116899

11141212313 has 64 divisors (see below), whose sum is σ = 14446080000. Its totient is φ = 8343648000.

The previous prime is 11141212301. The next prime is 11141212319. The reversal of 11141212313 is 31321214111.

It is a cyclic number.

It is not a de Polignac number, because 11141212313 - 24 = 11141212297 is a prime.

It is a super-2 number, since 2×111412123132 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11141212319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73782788 + ... + 73782938.

It is an arithmetic number, because the mean of its divisors is an integer number (225720000).

Almost surely, 211141212313 is an apocalyptic number.

It is an amenable number.

11141212313 is a deficient number, since it is larger than the sum of its proper divisors (3304867687).

11141212313 is a wasteful number, since it uses less digits than its factorization.

11141212313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486.

The product of its digits is 144, while the sum is 20.

Adding to 11141212313 its reverse (31321214111), we get a palindrome (42462426424).

The spelling of 11141212313 in words is "eleven billion, one hundred forty-one million, two hundred twelve thousand, three hundred thirteen".

Divisors: 1 7 11 59 77 109 149 151 413 649 763 1043 1057 1199 1639 1661 4543 6431 8393 8791 8909 11473 11627 16241 16459 22499 45017 61537 62363 70741 96701 97999 113687 115213 157493 178651 181049 247489 495187 676907 685993 958219 971081 1250557 1267343 1327441 1732423 2452391 6707533 6797567 9292087 10540409 10681891 14601851 17166737 26976301 73782863 74773237 102212957 144691069 188834107 1012837483 1591601759 11141212313