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233143143032201 = 973736715395957
BaseRepresentation
bin110101000000101011011110…
…001110001110010110001001
31010120111021012111110112212212
4311000223132032032112021
5221024304124104012301
62143504251544114505
7100052015265662453
oct6500533616162611
91116437174415785
10233143143032201
11683174a7237896
1222194852a65a35
13a0123c5003a7c
14418028cad12d3
151be48c51c74bb
hexd40ade38e589

233143143032201 has 16 divisors (see below), whose sum is σ = 236184151374864. Its totient is φ = 230115175686144.

The previous prime is 233143143032183. The next prime is 233143143032207. The reversal of 233143143032201 is 102230341341332.

It can be written as a sum of positive squares in 8 ways, for example, as 5007010393225 + 228136132638976 = 2237635^2 + 15104176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233143143032201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233143143032207) 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 15 ways as a sum of consecutive naturals, for example, 2429614715 + ... + 2429710671.

It is an arithmetic number, because the mean of its divisors is an integer number (14761509460929).

Almost surely, 2233143143032201 is an apocalyptic number.

It is an amenable number.

233143143032201 is a deficient number, since it is larger than the sum of its proper divisors (3041008342663).

233143143032201 is an equidigital number, since it uses as much as digits as its factorization.

233143143032201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163580.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 233143143032201 its reverse (102230341341332), we get a palindrome (335373484373533).

The spelling of 233143143032201 in words is "two hundred thirty-three trillion, one hundred forty-three billion, one hundred forty-three million, thirty-two thousand, two hundred one".

Divisors: 1 97 373 36181 67153 95957 6513841 9307829 25048069 35791961 2429662693 3471820217 6443800421 625048640837 2403537557033 233143143032201