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233402212121 = 1341273146309
BaseRepresentation
bin1101100101011111011…
…0110001111100011001
3211022110012102212111212
43121113312301330121
512311001431241441
6255120135232505
722601632032431
oct3312766617431
9738405385455
10233402212121
118aa92511591
1239299b18735
1319018502c30
14b4223112c1
156110ae0eeb
hex3657db1f19

233402212121 has 24 divisors (see below), whose sum is σ = 261167446680. Its totient is φ = 207312583680.

The previous prime is 233402212073. The next prime is 233402212133. The reversal of 233402212121 is 121212204332.

It can be written as a sum of positive squares in 12 ways, for example, as 161382975625 + 72019236496 = 401725^2 + 268364^2 .

It is not a de Polignac number, because 233402212121 - 222 = 233398017817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233402212151) 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, 1522115 + ... + 1668423.

It is an arithmetic number, because the mean of its divisors is an integer number (10881976945).

Almost surely, 2233402212121 is an apocalyptic number.

It is an amenable number.

233402212121 is a deficient number, since it is larger than the sum of its proper divisors (27765234559).

233402212121 is a wasteful number, since it uses less digits than its factorization.

233402212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146477 (or 146436 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 233402212121 its reverse (121212204332), we get a palindrome (354614416453).

The spelling of 233402212121 in words is "two hundred thirty-three billion, four hundred two million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 13 41 73 533 949 1681 2993 21853 38909 122713 146309 1595269 1902017 5998669 10680557 77982697 138847241 245945429 437902837 3197290577 5692736881 17954016317 233402212121