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11311014121 = 116197173783
BaseRepresentation
bin10101000100011000…
…00110000011101001
31002012021200001101221
422202030012003221
5141131104422441
65110214142041
7550204014361
oct124214060351
932167601357
1011311014121
114884855360
122238051921
1310b34b0784
1479430d9a1
154630268d1
hex2a23060e9

11311014121 has 16 divisors (see below), whose sum is σ = 12670939008. Its totient is φ = 10009843200.

The previous prime is 11311014067. The next prime is 11311014131. The reversal of 11311014121 is 12141011311.

It is a cyclic number.

It is not a de Polignac number, because 11311014121 - 217 = 11310883049 is a prime.

It is a super-2 number, since 2×113110141212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11311014095 and 11311014104.

It is not an unprimeable number, because it can be changed into a prime (11311014131) 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 15 ways as a sum of consecutive naturals, for example, 21805 + ... + 151978.

It is an arithmetic number, because the mean of its divisors is an integer number (791933688).

Almost surely, 211311014121 is an apocalyptic number.

11311014121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11311014121 is a deficient number, since it is larger than the sum of its proper divisors (1359924887).

11311014121 is a wasteful number, since it uses less digits than its factorization.

11311014121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173952.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 11311014121 its reverse (12141011311), we get a palindrome (23452025432).

The spelling of 11311014121 in words is "eleven billion, three hundred eleven million, fourteen thousand, one hundred twenty-one".

Divisors: 1 11 61 97 671 1067 5917 65087 173783 1911613 10600763 16856951 116608393 185426461 1028274011 11311014121