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1122020032113 = 32461757357241
BaseRepresentation
bin10000010100111101100…
…110101111111001110001
310222021010111122022002200
4100110331212233321301
5121340344112011423
62215240543133413
7144030462624621
oct20247546577161
93867114568080
101122020032113
113a293406a042
121615562a4269
1381a62b22186
143c43db80881
151e2bdc39d43
hex1053d9afe71

1122020032113 has 24 divisors (see below), whose sum is σ = 1626361352616. Its totient is φ = 745402694400.

The previous prime is 1122020032099. The next prime is 1122020032123. The reversal of 1122020032113 is 3112300202211.

1122020032113 is a `hidden beast` number, since 112 + 20 + 200 + 321 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 441117803889 + 680902228224 = 664167^2 + 825168^2 .

It is not a de Polignac number, because 1122020032113 - 210 = 1122020031089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1122020032123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2962173 + ... + 3319413.

It is an arithmetic number, because the mean of its divisors is an integer number (67765056359).

Almost surely, 21122020032113 is an apocalyptic number.

It is an amenable number.

1122020032113 is a deficient number, since it is larger than the sum of its proper divisors (504341320503).

1122020032113 is a wasteful number, since it uses less digits than its factorization.

1122020032113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358465 (or 358462 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1122020032113 its reverse (3112300202211), we get a palindrome (4234320234324).

The spelling of 1122020032113 in words is "one trillion, one hundred twenty-two billion, twenty million, thirty-two thousand, one hundred thirteen".

Divisors: 1 3 9 461 757 1383 2271 4149 6813 348977 357241 1046931 1071723 3140793 3215169 164688101 270431437 494064303 811294311 1482192909 2433882933 124668892457 374006677371 1122020032113