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1122013033031 = 115310119054957
BaseRepresentation
bin10000010100111101001…
…100000011001001000111
310222021010000110201011102
4100110331030003021013
5121340340314024111
62215240133130315
7144030346264262
oct20247514031107
93867100421142
101122013033031
113a2930119580
12161553a8999b
1381a615414c7
143c43cc7bcd9
151e2bd30613b
hex1053d303247

1122013033031 has 16 divisors (see below), whose sum is σ = 1259456503968. Its totient is φ = 990857712000.

The previous prime is 1122013033021. The next prime is 1122013033111. The reversal of 1122013033031 is 1303303102211.

It is a cyclic number.

It is not a de Polignac number, because 1122013033031 - 238 = 847135126087 is a prime.

It is a super-2 number, since 2×11220130330312 (a number of 25 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 = 1122013032994 and 1122013033012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122013033021) 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, 9468596 + ... + 9586361.

It is an arithmetic number, because the mean of its divisors is an integer number (78716031498).

Almost surely, 21122013033031 is an apocalyptic number.

1122013033031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1122013033031 is a deficient number, since it is larger than the sum of its proper divisors (137443470937).

1122013033031 is a wasteful number, since it uses less digits than its factorization.

1122013033031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19055122.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1122013033031 its reverse (1303303102211), we get a palindrome (2425316135242).

The spelling of 1122013033031 in words is "one trillion, one hundred twenty-two billion, thirteen million, thirty-three thousand, thirty-one".

Divisors: 1 11 53 101 583 1111 5353 58883 19054957 209604527 1009912721 1924550657 11109039931 21170057227 102001184821 1122013033031