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13332233232 = 243410287217
BaseRepresentation
bin11000110101010100…
…11011110000010000
31021102010221121210000
430122222123300100
5204301022430412
610042540010000
7651246053433
oct143252336020
937363847700
1013332233232
11572177517a
122700b30900
131346177106
1490692d81a
155306cb4dc
hex31aa9bc10

13332233232 has 50 divisors (see below), whose sum is σ = 38587354718. Its totient is φ = 4444077312.

The previous prime is 13332233203. The next prime is 13332233279. The reversal of 13332233232 is 23233223331.

13332233232 is a `hidden beast` number, since 1 + 3 + 3 + 322 + 332 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12326328576 + 1005904656 = 111024^2 + 31716^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 13332233196 and 13332233205.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5142313 + ... + 5144904.

Almost surely, 213332233232 is an apocalyptic number.

13332233232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13332233232 is an abundant number, since it is smaller than the sum of its proper divisors (25255121486).

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

13332233232 is a wasteful number, since it uses less digits than its factorization.

13332233232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10287237 (or 10287222 counting only the distinct ones).

The product of its digits is 11664, while the sum is 27.

Adding to 13332233232 its reverse (23233223331), we get a palindrome (36565456563).

Subtracting 13332233232 from its reverse (23233223331), we obtain a palindrome (9900990099).

The spelling of 13332233232 in words is "thirteen billion, three hundred thirty-two million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10287217 20574434 30861651 41148868 61723302 82297736 92584953 123446604 164595472 185169906 246893208 277754859 370339812 493786416 555509718 740679624 833264577 1111019436 1481359248 1666529154 2222038872 3333058308 4444077744 6666116616 13332233232