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233002200031 = 3117774229713
BaseRepresentation
bin1101100100000000000…
…0110110101111011111
3211021102022202011002021
43121000000312233133
512304142030400111
6255012325441011
722556004010426
oct3310000665737
9737368664067
10233002200031
118a8a7738587
12391a7b70167
1318c83688ca3
14b3c51462bd
1560da928d71
hex3640036bdf

233002200031 has 8 divisors (see below), whose sum is σ = 240653807744. Its totient is φ = 225359055360.

The previous prime is 233002200001. The next prime is 233002200103. The reversal of 233002200031 is 130002200332.

233002200031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 233002200031 - 211 = 233002197983 is a prime.

It is a super-2 number, since 2×2330022000312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233002199978 and 233002200014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233002200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2059770 + ... + 2169943.

It is an arithmetic number, because the mean of its divisors is an integer number (30081725968).

Almost surely, 2233002200031 is an apocalyptic number.

233002200031 is a deficient number, since it is larger than the sum of its proper divisors (7651607713).

233002200031 is a wasteful number, since it uses less digits than its factorization.

233002200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231521.

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 233002200031 its reverse (130002200332), we get a palindrome (363004400363).

The spelling of 233002200031 in words is "two hundred thirty-three billion, two million, two hundred thousand, thirty-one".

Divisors: 1 31 1777 55087 4229713 131121103 7516200001 233002200031