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10311103121 = 112716535297
BaseRepresentation
bin10011001101001011…
…01111001010010001
3222121121011022101012
421212211233022101
5132104120244441
64423054420305
7513342634064
oct114645571221
928547138335
1010311103121
114411392430
121bb9201695
13c842a4c67
146db5c68db
154053619eb
hex26696f291

10311103121 has 16 divisors (see below), whose sum is σ = 11309407488. Its totient is φ = 9323078400.

The previous prime is 10311103039. The next prime is 10311103157. The reversal of 10311103121 is 12130111301.

It is a happy number.

10311103121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10311103121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10311103096 and 10311103105.

It is not an unprimeable number, because it can be changed into a prime (10311103321) 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, 1943945 + ... + 1949241.

It is an arithmetic number, because the mean of its divisors is an integer number (706837968).

Almost surely, 210311103121 is an apocalyptic number.

10311103121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10311103121 is a deficient number, since it is larger than the sum of its proper divisors (998304367).

10311103121 is a wasteful number, since it uses less digits than its factorization.

10311103121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10311103121 its reverse (12130111301), we get a palindrome (22441214422).

The spelling of 10311103121 in words is "ten billion, three hundred eleven million, one hundred three thousand, one hundred twenty-one".

Divisors: 1 11 271 653 2981 5297 7183 58267 176963 1435487 1946593 3458941 15790357 38048351 937373011 10311103121