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233212210131330 = 23254163201140957
BaseRepresentation
bin110101000001101011110010…
…111100010011000110000010
31010120201212110220101201100100
4311001223302330103012002
5221031422101243200310
62144000113231503230
7100060011654433503
oct6501536274230602
91116655426351310
10233212210131330
1168343819875701
12221a6109387b16
13a018a810a5571
144183761864baa
151be65b895cec0
hexd41af2f13182

233212210131330 has 48 divisors (see below), whose sum is σ = 621140813335224. Its totient is φ = 60673095317760.

The previous prime is 233212210131317. The next prime is 233212210131419. The reversal of 233212210131330 is 33131012212332.

233212210131330 is a `hidden beast` number, since 2 + 3 + 3 + 212 + 2 + 101 + 313 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89409638414889 + 143802571716441 = 9455667^2 + 11991771^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233212210131294 and 233212210131303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31600566789 + ... + 31600574168.

Almost surely, 2233212210131330 is an apocalyptic number.

233212210131330 is an abundant number, since it is smaller than the sum of its proper divisors (387928603203894).

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

233212210131330 is a wasteful number, since it uses less digits than its factorization.

233212210131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63201141011 (or 63201141008 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 233212210131330 its reverse (33131012212332), we get a palindrome (266343222343662).

The spelling of 233212210131330 in words is "two hundred thirty-three trillion, two hundred twelve billion, two hundred ten million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 63201140957 126402281914 189603422871 316005704785 379206845742 568810268613 632011409570 948017114355 1137620537226 1896034228710 2591246779237 2844051343065 5182493558474 5688102686130 7773740337711 12956233896185 15547480675422 23321221013133 25912467792370 38868701688555 46642442026266 77737403377110 116606105065665 233212210131330