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233130031332 = 2231110117486501
BaseRepresentation
bin1101100100011110100…
…0011111100011100100
3211021202020021122122220
43121013220133203210
512304422242000312
6255033133352340
722562115366432
oct3310750374344
9737666248586
10233130031332
118a962909090
12392229386b0
1318ca3cc5603
14b3d80ddd52
1560e6c79c8c
hex3647a1f8e4

233130031332 has 48 divisors (see below), whose sum is σ = 599297396544. Its totient is φ = 69946000000.

The previous prime is 233130031327. The next prime is 233130031339.

233130031332 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2331300313322 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233130031339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8729919 + ... + 8756582.

It is an arithmetic number, because the mean of its divisors is an integer number (12485362428).

Almost surely, 2233130031332 is an apocalyptic number.

233130031332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

233130031332 is an abundant number, since it is smaller than the sum of its proper divisors (366167365212).

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

233130031332 is a wasteful number, since it uses less digits than its factorization.

233130031332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17486620 (or 17486618 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

It can be divided in two parts, 2331300 and 31332, that added together give a palindrome (2362632).

The spelling of 233130031332 in words is "two hundred thirty-three billion, one hundred thirty million, thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 17486501 34973002 52459503 69946004 104919006 192351511 209838012 384703022 577054533 769406044 1154109066 1766136601 2308218132 3532273202 5298409803 7064546404 10596819606 19427502611 21193639212 38855005222 58282507833 77710010444 116565015666 233130031332