Search a number
-
+
233320131 = 32119532473
BaseRepresentation
bin11011110100000…
…10111011000011
3121021000220001100
431322002323003
5434212221011
635052505443
75532121422
oct1572027303
9537026040
10233320131
1110a780960
126617b283
1339452565
1422db72b9
151573bd56
hexde82ec3

233320131 has 24 divisors (see below), whose sum is σ = 368190576. Its totient is φ = 141200640.

The previous prime is 233320123. The next prime is 233320141. The reversal of 233320131 is 131023332.

It is not a de Polignac number, because 233320131 - 23 = 233320123 is a prime.

It is a super-3 number, since 3×2333201313 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (233320141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93111 + ... + 95583.

It is an arithmetic number, because the mean of its divisors is an integer number (15341274).

Almost surely, 2233320131 is an apocalyptic number.

233320131 is a deficient number, since it is larger than the sum of its proper divisors (134870445).

233320131 is a wasteful number, since it uses less digits than its factorization.

233320131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 233320131 is about 15274.8201626075. The cubic root of 233320131 is about 615.6266386997.

Adding to 233320131 its reverse (131023332), we get a palindrome (364343463).

The spelling of 233320131 in words is "two hundred thirty-three million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 953 2473 2859 7419 8577 10483 22257 27203 31449 81609 94347 244827 2356769 7070307 21210921 25924459 77773377 233320131