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233232000240122 = 213218110529362081
BaseRepresentation
bin110101000001111110001110…
…100001100100100111111010
31010120210202120002222101222122
4311001332032201210213322
5221032233114030140442
62144013145102321242
7100061312250535622
oct6501761641444772
91116722502871878
10233232000240122
1168351154876314
12221a9b10b89222
13a01a8b6141a00
1441846bbd11882
151be6d76068dd2
hexd41f8e8649fa

233232000240122 has 48 divisors (see below), whose sum is σ = 380959702676280. Its totient is φ = 107040348979200.

The previous prime is 233232000240073. The next prime is 233232000240137. The reversal of 233232000240122 is 221042000232332.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 113488808161 + 233118511431961 = 336881^2 + 15268219^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 233232000240091 and 233232000240100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643962122 + ... + 644324202.

Almost surely, 2233232000240122 is an apocalyptic number.

233232000240122 is a deficient number, since it is larger than the sum of its proper divisors (147727702436158).

233232000240122 is a wasteful number, since it uses less digits than its factorization.

233232000240122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372819 (or 372806 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 233232000240122 its reverse (221042000232332), we get a palindrome (454274000472454).

The spelling of 233232000240122 in words is "two hundred thirty-three trillion, two hundred thirty-two billion, two hundred forty thousand, one hundred twenty-two".

Divisors: 1 2 13 26 169 181 338 362 2353 4706 10529 21058 30589 61178 136877 273754 362081 724162 1779401 1905749 3558802 3811498 4707053 9414106 24774737 49549474 61191689 65536661 122383378 131073322 322071581 644143162 851976593 1703953186 3812350849 7624701698 11075695709 22151391418 49560561037 99121122074 644287293481 690035503669 1288574586962 1380071007338 8970461547697 17940923095394 116616000120061 233232000240122