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23201213312 = 271097872113
BaseRepresentation
bin10101100110111001…
…100110101110000000
32012212221011202100202
4111212321212232000
5340004002311222
614354122304332
71450643026214
oct254671465600
965787152322
1023201213312
119926530a62
1245b60580a8
13225997c7b4
1411a1508944
1590bd08892
hex566e66b80

23201213312 has 64 divisors (see below), whose sum is σ = 46726587600. Its totient is φ = 11474141184.

The previous prime is 23201213281. The next prime is 23201213317. The reversal of 23201213312 is 21331210232.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23201213317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10979168 + ... + 10981280.

Almost surely, 223201213312 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 23201213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23363293800).

23201213312 is an abundant number, since it is smaller than the sum of its proper divisors (23525374288).

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

23201213312 is a wasteful number, since it uses less digits than its factorization.

23201213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 23201213312 its reverse (21331210232), we get a palindrome (44532423544).

The spelling of 23201213312 in words is "twenty-three billion, two hundred one million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 109 128 218 436 787 872 1574 1744 2113 3148 3488 4226 6296 6976 8452 12592 13952 16904 25184 33808 50368 67616 85783 100736 135232 171566 230317 270464 343132 460634 686264 921268 1372528 1662931 1842536 2745056 3325862 3685072 5490112 6651724 7370144 10980224 13303448 14740288 26606896 29480576 53213792 106427584 181259479 212855168 362518958 725037916 1450075832 2900151664 5800303328 11600606656 23201213312