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1120331013131 = 113156957710007
BaseRepresentation
bin10000010011011000111…
…011101001110000001011
310222002202210110020122002
4100103120323221300023
5121323414214410011
62214401205421215
7143640563326211
oct20233073516013
93862683406562
101120331013131
113a2147717090
1216116470a80b
1381853c1bb65
143c31d716cb1
151e220804c3b
hex104d8ee9c0b

1120331013131 has 32 divisors (see below), whose sum is σ = 1266138501120. Its totient is φ = 982092902400.

The previous prime is 1120331013077. The next prime is 1120331013167. The reversal of 1120331013131 is 1313101330211.

It is a cyclic number.

It is not a de Polignac number, because 1120331013131 - 210 = 1120331012107 is a prime.

It is a super-2 number, since 2×11203310131312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1120331013181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111949730 + ... + 111959736.

It is an arithmetic number, because the mean of its divisors is an integer number (39566828160).

Almost surely, 21120331013131 is an apocalyptic number.

1120331013131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1120331013131 is a deficient number, since it is larger than the sum of its proper divisors (145807487989).

1120331013131 is a wasteful number, since it uses less digits than its factorization.

1120331013131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11195.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1120331013131 its reverse (1313101330211), we get a palindrome (2433432343342).

The spelling of 1120331013131 in words is "one trillion, one hundred twenty billion, three hundred thirty-one million, thirteen thousand, one hundred thirty-one".

Divisors: 1 11 31 341 569 577 6259 6347 10007 17639 17887 110077 194029 196757 310217 328313 3412387 3611443 5693983 5774039 10177703 62633813 63514429 111954733 176513473 178995209 1941648203 1968947299 3285428191 36139710101 101848273921 1120331013131