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233013321132228 = 223271371127387403
BaseRepresentation
bin110100111110110010100100…
…001110111110100011000100
31010120000212002222122201120100
4310332302210032332203010
5221020142240202212403
62143324501510204100
7100036441214021250
oct6476624416764304
91116025088581510
10233013321132228
116827743815296a
1222173661953630
13a0030a5cb9390
144177c95147260
151be1327ce42a3
hexd3eca43be8c4

233013321132228 has 72 divisors (see below), whose sum is σ = 724930332421568. Its totient is φ = 61454062715328.

The previous prime is 233013321132181. The next prime is 233013321132239. The reversal of 233013321132228 is 822231123310332.

233013321132228 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 1 + 3 + 321 + 1 + 322 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 233013321132192 and 233013321132201.

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, 35563690426 + ... + 35563696977.

Almost surely, 2233013321132228 is an apocalyptic number.

233013321132228 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

233013321132228 is an abundant number, since it is smaller than the sum of its proper divisors (491917011289340).

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

233013321132228 is a wasteful number, since it uses less digits than its factorization.

233013321132228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71127387433 (or 71127387428 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 233013321132228 in words is "two hundred thirty-three trillion, thirteen billion, three hundred twenty-one million, one hundred thirty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 71127387403 142254774806 213382162209 284509549612 426764324418 497891711821 640146486627 853528648836 924656036239 995783423642 1280292973254 1493675135463 1849312072478 1991566847284 2560585946508 2773968108717 2987350270926 3698624144956 4481025406389 5547936217434 5974700541852 6472592253673 8321904326151 8962050812778 11095872434868 12945184507346 16643808652302 17924101625556 19417776761019 25890369014692 33287617304604 38835553522038 58253330283057 77671107044076 116506660566114 233013321132228