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23321001319 = 71117137130043
BaseRepresentation
bin10101101110000010…
…100011110101100111
32020012021120121121121
4111232002203311213
5340230134020234
614414041554411
71453626145330
oct255602436547
966167517547
1023321001319
119988108510
12462a1a5a07
132278731085
1411b33ab287
159175bb4b4
hex56e0a3d67

23321001319 has 32 divisors (see below), whose sum is σ = 31010812416. Its totient is φ = 16978283520.

The previous prime is 23321001287. The next prime is 23321001323. The reversal of 23321001319 is 91310012332.

It is not a de Polignac number, because 23321001319 - 25 = 23321001287 is a prime.

It is a super-2 number, since 2×233210013192 (a number of 22 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 = 23321001293 and 23321001302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23321001019) 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 31 ways as a sum of consecutive naturals, for example, 114312 + ... + 244354.

It is an arithmetic number, because the mean of its divisors is an integer number (969087888).

Almost surely, 223321001319 is an apocalyptic number.

23321001319 is a deficient number, since it is larger than the sum of its proper divisors (7689811097).

23321001319 is a wasteful number, since it uses less digits than its factorization.

23321001319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130215.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 23321001319 in words is "twenty-three billion, three hundred twenty-one million, one thousand, three hundred nineteen".

Divisors: 1 7 11 17 77 119 137 187 959 1309 1507 2329 10549 16303 25619 130043 179333 910301 1430473 2210731 10013311 15475117 17815891 24318041 124711237 170226287 195974801 302870147 1371823607 2120091029 3331571617 23321001319