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23321101401 = 32131277156089
BaseRepresentation
bin10101101110000010…
…111100010001011001
32020012021202200220100
4111232002330101121
5340230200221101
614414044050013
71453630043163
oct255602742131
966167680810
1023321101401
119988176724
12462a233909
1322787677b0
1411b33d5933
159175dae86
hex56e0bc459

23321101401 has 24 divisors (see below), whose sum is σ = 36305909640. Its totient is φ = 14340116736.

The previous prime is 23321101399. The next prime is 23321101403. The reversal of 23321101401 is 10410112332.

23321101401 is a `hidden beast` number, since 233 + 21 + 10 + 1 + 401 = 666.

It is an interprime number because it is at equal distance from previous prime (23321101399) and next prime (23321101403).

It can be written as a sum of positive squares in 4 ways, for example, as 8533325376 + 14787776025 = 92376^2 + 121605^2 .

It is not a de Polignac number, because 23321101401 - 21 = 23321101399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23321101403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71365 + ... + 227453.

It is an arithmetic number, because the mean of its divisors is an integer number (1512746235).

Almost surely, 223321101401 is an apocalyptic number.

It is an amenable number.

23321101401 is a deficient number, since it is larger than the sum of its proper divisors (12984808239).

23321101401 is a wasteful number, since it uses less digits than its factorization.

23321101401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157385 (or 157382 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23321101401 its reverse (10410112332), we get a palindrome (33731213733).

The spelling of 23321101401 in words is "twenty-three billion, three hundred twenty-one million, one hundred one thousand, four hundred one".

Divisors: 1 3 9 13 39 117 1277 3831 11493 16601 49803 149409 156089 468267 1404801 2029157 6087471 18262413 199325653 597976959 1793930877 2591233489 7773700467 23321101401