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11221131231 = 331747618527
BaseRepresentation
bin10100111001101010…
…01101111111011111
31001222000112112021000
422130311031333133
5140440102144411
65053243441343
7545033020212
oct123465157737
931860475230
1011221131231
114839043a82
122211b26253
13109a99cc2b
147863d3779
1545a1be956
hex29cd4dfdf

11221131231 has 64 divisors (see below), whose sum is σ = 18273116160. Its totient is φ = 6777146880.

The previous prime is 11221131203. The next prime is 11221131253. The reversal of 11221131231 is 13213112211.

11221131231 is a `hidden beast` number, since 112 + 211 + 312 + 31 = 666.

It is not a de Polignac number, because 11221131231 - 25 = 11221131199 is a prime.

It is a super-2 number, since 2×112211312312 (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 (11221131731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1311690 + ... + 1320216.

It is an arithmetic number, because the mean of its divisors is an integer number (285517440).

Almost surely, 211221131231 is an apocalyptic number.

11221131231 is a deficient number, since it is larger than the sum of its proper divisors (7051984929).

11221131231 is a wasteful number, since it uses less digits than its factorization.

11221131231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8661 (or 8655 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11221131231 its reverse (13213112211), we get a palindrome (24434243442).

The spelling of 11221131231 in words is "eleven billion, two hundred twenty-one million, one hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 17 27 47 51 61 141 153 183 423 459 549 799 1037 1269 1647 2397 2867 3111 7191 8527 8601 9333 21573 25581 25803 27999 48739 76743 77409 144959 146217 230229 400769 434877 438651 520147 1202307 1304631 1315953 1560441 3606921 3913893 4681323 6813073 8842499 10820763 14043969 20439219 24446909 26527497 61317657 73340727 79582491 183952971 220022181 238747473 415597453 660066543 1246792359 3740377077 11221131231