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233033021332121 = 3761148969341177
BaseRepresentation
bin110100111111000100111010…
…011101010001101010011001
31010120002201221221001120101102
4310333010322131101222121
5221021003111430111441
62143341520410001145
7100041036335660333
oct6477047235215231
91116081857046342
10233033021332121
11682848274246aa
122217743b4161b5
13a004bc55361aa
144178c036ac453
151be1acc59069b
hexd3f13a751a99

233033021332121 has 16 divisors (see below), whose sum is σ = 243418044898320. Its totient is φ = 222868086958080.

The previous prime is 233033021332099. The next prime is 233033021332231. The reversal of 233033021332121 is 121233120330332.

It can be written as a sum of positive squares in 8 ways, for example, as 14024425806400 + 219008595525721 = 3744920^2 + 14798939^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233033021332121 is a prime.

It is a super-2 number, since 2×2330330213321212 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233033021332621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31309916 + ... + 38031261.

It is an arithmetic number, because the mean of its divisors is an integer number (15213627806145).

Almost surely, 2233033021332121 is an apocalyptic number.

It is an amenable number.

233033021332121 is a deficient number, since it is larger than the sum of its proper divisors (10385023566199).

233033021332121 is a wasteful number, since it uses less digits than its factorization.

233033021332121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69342764.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 233033021332121 its reverse (121233120330332), we get a palindrome (354266141662453).

The spelling of 233033021332121 in words is "two hundred thirty-three trillion, thirty-three billion, twenty-one million, three hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 37 61 1489 2257 55093 90829 3360673 69341177 2565623549 4229811797 103249012553 156503036489 3820213464461 6298189765733 233033021332121