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11231311257 = 33463989669
BaseRepresentation
bin10100111010111000…
…00011010110011001
31001222201200201122000
422131130003112121
5141000203430012
65054245551213
7545215366455
oct123534032631
931881621560
1011231311257
114843867421
122215415509
13109cb2570a
147878c3665
1545b030ddc
hex29d703599

11231311257 has 16 divisors (see below), whose sum is σ = 16642752000. Its totient is φ = 7485843312.

The previous prime is 11231311241. The next prime is 11231311283. The reversal of 11231311257 is 75211313211.

11231311257 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 11231311257 - 24 = 11231311241 is a prime.

It is a super-2 number, since 2×112313112572 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11231311257.

It is not an unprimeable number, because it can be changed into a prime (11231311297) 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 15 ways as a sum of consecutive naturals, for example, 80419 + ... + 170087.

It is an arithmetic number, because the mean of its divisors is an integer number (1040172000).

Almost surely, 211231311257 is an apocalyptic number.

It is an amenable number.

11231311257 is a deficient number, since it is larger than the sum of its proper divisors (5411440743).

11231311257 is an equidigital number, since it uses as much as digits as its factorization.

11231311257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94317 (or 94311 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

Adding to 11231311257 its reverse (75211313211), we get a palindrome (86442624468).

The spelling of 11231311257 in words is "eleven billion, two hundred thirty-one million, three hundred eleven thousand, two hundred fifty-seven".

Divisors: 1 3 9 27 4639 13917 41751 89669 125253 269007 807021 2421063 415974491 1247923473 3743770419 11231311257