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23131212 = 22313295113
BaseRepresentation
bin101100000111…
…1010001001100
31121112012001120
41120033101030
521410144322
62143440540
7400416636
oct130172114
947465046
1023131212
1112069905
1278b6150
134a3b710
143101a56
15206da5c
hex160f44c

23131212 has 48 divisors (see below), whose sum is σ = 60140640. Its totient is φ = 6870528.

The previous prime is 23131211. The next prime is 23131231. The reversal of 23131212 is 21213132.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23131191 and 23131200.

It is not an unprimeable number, because it can be changed into a prime (23131211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968 + ... + 7080.

It is an arithmetic number, because the mean of its divisors is an integer number (1252930).

Almost surely, 223131212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23131212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30070320).

23131212 is an abundant number, since it is smaller than the sum of its proper divisors (37009428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23131212 is a wasteful number, since it uses less digits than its factorization.

23131212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5160 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 23131212 is about 4809.4918650519. The cubic root of 23131212 is about 284.9264691807.

Adding to 23131212 its reverse (21213132), we get a palindrome (44344344).

The spelling of 23131212 in words is "twenty-three million, one hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 5113 10226 15339 20452 30678 61356 66469 132938 148277 199407 265876 296554 398814 444831 593108 797628 889662 1779324 1927601 3855202 5782803 7710404 11565606 23131212