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23001321 = 3729179211
BaseRepresentation
bin101011110111…
…1100011101001
31121021120212210
41113233203221
521342020241
62140555333
7366336150
oct127574351
947246783
1023001321
1111a90262
127852b49
1349c4565
1430aa597
152045316
hex15ef8e9

23001321 has 32 divisors (see below), whose sum is σ = 36633600. Its totient is φ = 12559680.

The previous prime is 23001313. The next prime is 23001337. The reversal of 23001321 is 12310032.

It is a happy number.

It is not a de Polignac number, because 23001321 - 23 = 23001313 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23001297 and 23001306.

It is not an unprimeable number, because it can be changed into a prime (23001371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108906 + ... + 109116.

It is an arithmetic number, because the mean of its divisors is an integer number (1144800).

Almost surely, 223001321 is an apocalyptic number.

23001321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23001321 is a deficient number, since it is larger than the sum of its proper divisors (13632279).

23001321 is a wasteful number, since it uses less digits than its factorization.

23001321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 23001321 is about 4795.9692451057. The cubic root of 23001321 is about 284.3921424436.

Adding to 23001321 its reverse (12310032), we get a palindrome (35311353).

The spelling of 23001321 in words is "twenty-three million, one thousand, three hundred twenty-one".

Divisors: 1 3 7 21 29 87 179 203 211 537 609 633 1253 1477 3759 4431 5191 6119 15573 18357 36337 37769 42833 109011 113307 128499 264383 793149 1095301 3285903 7667107 23001321