Search a number
-
+
120232100232321 = 37113402971529503
BaseRepresentation
bin11011010101100110110111…
…100111111111110010000001
3120202201002001210022110221020
4123111212313213333302001
5111224340320124413241
61103413510410220053
734216324345462260
oct3325466747776201
9522632053273836
10120232100232321
1135345169156030
1211599953124629
135211ab8c8074c
14219939c4a65d7
15dd77a5cb4b66
hex6d59b79ffc81

120232100232321 has 32 divisors (see below), whose sum is σ = 199867066441728. Its totient is φ = 62458009511040.

The previous prime is 120232100232289. The next prime is 120232100232323. The reversal of 120232100232321 is 123232001232021.

It is not a de Polignac number, because 120232100232321 - 25 = 120232100232289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120232100232291 and 120232100232300.

It is not an unprimeable number, because it can be changed into a prime (120232100232323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77843856 + ... + 79373358.

It is an arithmetic number, because the mean of its divisors is an integer number (6245845826304).

Almost surely, 2120232100232321 is an apocalyptic number.

120232100232321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120232100232321 is a deficient number, since it is larger than the sum of its proper divisors (79634966209407).

120232100232321 is a wasteful number, since it uses less digits than its factorization.

120232100232321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869821.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 120232100232321 its reverse (123232001232021), we get a palindrome (243464101464342).

The spelling of 120232100232321 in words is "one hundred twenty trillion, two hundred thirty-two billion, one hundred million, two hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 231 340297 1020891 1529503 2382079 3743267 4588509 7146237 10706521 11229801 16824533 26202869 32119563 50473599 78608607 117771731 353315193 520485282391 1561455847173 3643396976737 5725338106301 10930190930211 17176014318903 40077366744107 120232100232321