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23121312001 = 42160191381
BaseRepresentation
bin10101100010001000…
…110011100100000001
32012200100211100100221
4111202020303210001
5334323023441001
614342145543041
71445652623614
oct254210634401
965610740327
1023121312001
119895417a17
124593344a81
132246255308
141194a6a17b
15904cc41a1
hex562233901

23121312001 has 8 divisors (see below), whose sum is σ = 23215048808. Its totient is φ = 23027760000.

The previous prime is 23121311989. The next prime is 23121312013. The reversal of 23121312001 is 10021312132.

It is an interprime number because it is at equal distance from previous prime (23121311989) and next prime (23121312013).

It can be written as a sum of positive squares in 4 ways, for example, as 3413363776 + 19707948225 = 58424^2 + 140385^2 .

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 23121312001 - 233 = 14531377409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23121312041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207331 + ... + 298711.

It is an arithmetic number, because the mean of its divisors is an integer number (2901881101).

Almost surely, 223121312001 is an apocalyptic number.

It is an amenable number.

23121312001 is a deficient number, since it is larger than the sum of its proper divisors (93736807).

23121312001 is an equidigital number, since it uses as much as digits as its factorization.

23121312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92403.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 23121312001 its reverse (10021312132), we get a palindrome (33142624133).

It can be divided in two parts, 2312131 and 2001, that added together give a palindrome (2314132).

The spelling of 23121312001 in words is "twenty-three billion, one hundred twenty-one million, three hundred twelve thousand, one".

Divisors: 1 421 601 91381 253021 38471401 54919981 23121312001