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211331313011 = 7313233795437
BaseRepresentation
bin1100010011010001010…
…0111110110101110011
3202012111001011000202002
43010310110332311303
511430301304004021
6241030111244215
721160662344000
oct3046424766563
9665431130662
10211331313011
11816970203a5
1234b5a51966b
1316c0ba89110
14a32ad968a7
15576d15a50b
hex313453ed73

211331313011 has 64 divisors (see below), whose sum is σ = 277729536000. Its totient is φ = 159485977728.

The previous prime is 211331313007. The next prime is 211331313071. The reversal of 211331313011 is 110313133112.

It is not a de Polignac number, because 211331313011 - 22 = 211331313007 is a prime.

It is a super-2 number, since 2×2113313130112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211331313001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38866385 + ... + 38871821.

It is an arithmetic number, because the mean of its divisors is an integer number (4339524000).

Almost surely, 2211331313011 is an apocalyptic number.

211331313011 is a deficient number, since it is larger than the sum of its proper divisors (66398222989).

211331313011 is a wasteful number, since it uses less digits than its factorization.

211331313011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5873 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 211331313011 its reverse (110313133112), we get a palindrome (321644446123).

The spelling of 211331313011 in words is "two hundred eleven billion, three hundred thirty-one million, three hundred thirteen thousand, eleven".

Divisors: 1 7 13 23 49 91 161 299 343 379 637 1127 2093 2653 4459 4927 5437 7889 8717 14651 18571 34489 38059 61019 70681 102557 113321 125051 129997 241423 266413 427133 494767 793247 875357 1625663 1689961 1864891 2060623 2989931 3463369 5552729 6127499 11379641 14424361 24243583 26788099 38869103 42892493 47394329 79657487 100970527 187516693 331760303 557602409 616126277 706793689 1312616851 2322322121 4312883939 9188317957 16256254847 30190187573 211331313011