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23133313332 = 22324724156731
BaseRepresentation
bin10101100010110110…
…100101100100110100
32012201012102002002200
4111202312211210310
5334334112011312
614343255104500
71446156630123
oct254266454464
965635362080
1023133313332
1198a1174778
124597372130
132248897aac
1411964b1aba
15905d950dc
hex562da5934

23133313332 has 72 divisors (see below), whose sum is σ = 59968900992. Its totient is φ = 7515590400.

The previous prime is 23133313327. The next prime is 23133313349. The reversal of 23133313332 is 23331333132.

23133313332 is a `hidden beast` number, since 2 + 3 + 13 + 3 + 313 + 332 = 666.

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 = 23133313296 and 23133313305.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 379407 + ... + 436137.

Almost surely, 223133313332 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 23133313332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29984450496).

23133313332 is an abundant number, since it is smaller than the sum of its proper divisors (36835587660).

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

23133313332 is a wasteful number, since it uses less digits than its factorization.

23133313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57029 (or 57024 counting only the distinct ones).

The product of its digits is 8748, while the sum is 27.

Adding to 23133313332 its reverse (23331333132), we get a palindrome (46464646464).

The spelling of 23133313332 in words is "twenty-three billion, one hundred thirty-three million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 241 282 423 482 564 723 846 964 1446 1692 2169 2892 4338 8676 11327 22654 33981 45308 56731 67962 101943 113462 135924 170193 203886 226924 340386 407772 510579 680772 1021158 2042316 2666357 5332714 7999071 10665428 13672171 15998142 23997213 27344342 31996284 41016513 47994426 54688684 82033026 95988852 123049539 164066052 246099078 492198156 642592037 1285184074 1927776111 2570368148 3855552222 5783328333 7711104444 11566656666 23133313332