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11231312211 = 3277910122343
BaseRepresentation
bin10100111010111000…
…00011100101010011
31001222201200202221100
422131130003211103
5141000203442321
65054245555443
7545215402320
oct123534034523
931881622840
1011231312211
114843868109
122215415b83
13109cb25c92
147878c3b47
1545b031326
hex29d703953

11231312211 has 48 divisors (see below), whose sum is σ = 18962012160. Its totient is φ = 6273633600.

The previous prime is 11231312207. The next prime is 11231312227. The reversal of 11231312211 is 11221313211.

11231312211 is a `hidden beast` number, since 112 + 31 + 312 + 211 = 666.

11231312211 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 11231312211 - 22 = 11231312207 is a prime.

It is a super-2 number, since 2×112313122112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11231312291) 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 47 ways as a sum of consecutive naturals, for example, 491506 + ... + 513848.

It is an arithmetic number, because the mean of its divisors is an integer number (395041920).

Almost surely, 211231312211 is an apocalyptic number.

11231312211 is a deficient number, since it is larger than the sum of its proper divisors (7730699949).

11231312211 is a wasteful number, since it uses less digits than its factorization.

11231312211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22536 (or 22533 counting only the distinct ones).

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

Adding to 11231312211 its reverse (11221313211), we get a palindrome (22452625422).

The spelling of 11231312211 in words is "eleven billion, two hundred thirty-one million, three hundred twelve thousand, two hundred eleven".

Divisors: 1 3 7 9 21 63 79 101 237 303 553 707 711 909 1659 2121 4977 6363 7979 22343 23937 55853 67029 71811 156401 167559 201087 469203 502677 1407609 1765097 2256643 5295291 6769929 12355679 15796501 15885873 20309787 37067037 47389503 111201111 142168509 178274797 534824391 1247923579 1604473173 3743770737 11231312211