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233332200013221 = 33193712292935041
BaseRepresentation
bin110101000011011011100010…
…111001010111110110100101
31010121011100012012112021102000
4311003123202321113312211
5221040403321200410341
62144131155523235513
7100101460301545161
oct6503334271276645
91117140165467360
10233332200013221
116838a6a2a49951
1222205415818b99
13a02719415938a
1441894a56d5ca1
151be978cab58b6
hexd436e2e57da5

233332200013221 has 32 divisors (see below), whose sum is σ = 373705225276800. Its totient is φ = 143384794306560.

The previous prime is 233332200013201. The next prime is 233332200013291. The reversal of 233332200013221 is 122310002233332.

233332200013221 is a `hidden beast` number, since 2 + 3 + 3 + 332 + 2 + 0 + 0 + 0 + 1 + 322 + 1 = 666.

It is not a de Polignac number, because 233332200013221 - 223 = 233332191624613 is a prime.

It is a super-3 number, since 3×2333322000132213 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233332200013201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6146448540 + ... + 6146486501.

It is an arithmetic number, because the mean of its divisors is an integer number (11678288289900).

Almost surely, 2233332200013221 is an apocalyptic number.

It is an amenable number.

233332200013221 is a deficient number, since it is larger than the sum of its proper divisors (140373025263579).

233332200013221 is a wasteful number, since it uses less digits than its factorization.

233332200013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12292935106 (or 12292935100 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 233332200013221 its reverse (122310002233332), we get a palindrome (355642202246553).

The spelling of 233332200013221 in words is "two hundred thirty-three trillion, three hundred thirty-two billion, two hundred million, thirteen thousand, two hundred twenty-one".

Divisors: 1 3 9 19 27 37 57 111 171 333 513 703 999 2109 6327 18981 12292935041 36878805123 110636415369 233565765779 331909246107 454838596517 700697297337 1364515789551 2102091892011 4093547368653 6306275676033 8641933333823 12280642105959 25925800001469 77777400004407 233332200013221