Search a number
-
+
233123121 = 32711336397
BaseRepresentation
bin11011110010100…
…10110100110001
3121020122212210200
431321102310301
5434134414441
635044345413
75530341150
oct1571226461
9536585720
10233123121
1110a656940
12660a5269
13393b399a
1422d65597
15156ed7b6
hexde52d31

233123121 has 24 divisors (see below), whose sum is σ = 419824704. Its totient is φ = 121102560.

The previous prime is 233123117. The next prime is 233123123. The reversal of 233123121 is 121321332.

It is not a de Polignac number, because 233123121 - 22 = 233123117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233123094 and 233123103.

It is not an unprimeable number, because it can be changed into a prime (233123123) 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, 167506 + ... + 168891.

It is an arithmetic number, because the mean of its divisors is an integer number (17492696).

Almost surely, 2233123121 is an apocalyptic number.

233123121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

233123121 is a deficient number, since it is larger than the sum of its proper divisors (186701583).

233123121 is a wasteful number, since it uses less digits than its factorization.

233123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336421 (or 336418 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 233123121 is about 15268.3699522903. The cubic root of 233123121 is about 615.4533163833.

Adding to 233123121 its reverse (121321332), we get a palindrome (354444453).

It can be divided in two parts, 2331 and 23121, that added together give a palindrome (25452).

The spelling of 233123121 in words is "two hundred thirty-three million, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 336397 1009191 2354779 3027573 3700367 7064337 11101101 21193011 25902569 33303303 77707707 233123121