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1122312324 = 2237172334171
BaseRepresentation
bin100001011100101…
…0010000010000100
32220012211101002010
41002321102002010
54244302443244
6303211014220
736545332410
oct10271220204
92805741063
101122312324
11526574951
12273a3a370
1314b693743
14a90a9d40
15687e1eb9
hex42e52084

1122312324 has 96 divisors (see below), whose sum is σ = 3306756096. Its totient is φ = 288668160.

The previous prime is 1122312299. The next prime is 1122312361. The reversal of 1122312324 is 4232132211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1122312324.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15759 + ... + 49929.

It is an arithmetic number, because the mean of its divisors is an integer number (34445376).

Almost surely, 21122312324 is an apocalyptic number.

1122312324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122312324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653378048).

1122312324 is an abundant number, since it is smaller than the sum of its proper divisors (2184443772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1122312324 is a wasteful number, since it uses less digits than its factorization.

1122312324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34225 (or 34223 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 1122312324 is about 33500.9301960408. The cubic root of 1122312324 is about 1039.2130153265.

Adding to 1122312324 its reverse (4232132211), we get a palindrome (5354444535).

The spelling of 1122312324 in words is "one billion, one hundred twenty-two million, three hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 23 28 34 42 46 51 68 69 84 92 102 119 138 161 204 238 276 322 357 391 476 483 644 714 782 966 1173 1428 1564 1932 2346 2737 4692 5474 8211 10948 16422 32844 34171 68342 102513 136684 205026 239197 410052 478394 580907 717591 785933 956788 1161814 1435182 1571866 1742721 2323628 2357799 2870364 3143732 3485442 4066349 4715598 5501531 6970884 8132698 9431196 11003062 12199047 13360861 16265396 16504593 22006124 24398094 26721722 33009186 40082583 48796188 53443444 66018372 80165166 93526027 160330332 187052054 280578081 374104108 561156162 1122312324