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233112121 = 11192938461
BaseRepresentation
bin11011110010100…
…00001000111001
3121020122022201021
431321100020321
5434134041441
635044222441
75530264114
oct1571201071
9536568637
10233112121
1110a649650
126609aa21
13393ab988
1422d6157b
15156ea3d1
hexde50239

233112121 has 16 divisors (see below), whose sum is σ = 276926400. Its totient is φ = 193838400.

The previous prime is 233112097. The next prime is 233112133. The reversal of 233112121 is 121211332.

It is a cyclic number.

It is not a de Polignac number, because 233112121 - 27 = 233111993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233112095 and 233112104.

It is not an unprimeable number, because it can be changed into a prime (233118121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13170 + ... + 25291.

It is an arithmetic number, because the mean of its divisors is an integer number (17307900).

Almost surely, 2233112121 is an apocalyptic number.

It is an amenable number.

233112121 is a deficient number, since it is larger than the sum of its proper divisors (43814279).

233112121 is a wasteful number, since it uses less digits than its factorization.

233112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38520.

The product of its digits is 72, while the sum is 16.

The square root of 233112121 is about 15268.0097262217. The cubic root of 233112121 is about 615.4436361008.

Adding to 233112121 its reverse (121211332), we get a palindrome (354323453).

The spelling of 233112121 in words is "two hundred thirty-three million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 11 19 29 209 319 551 6061 38461 423071 730759 1115369 8038349 12269059 21192011 233112121