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2013132330 = 23251114231429
BaseRepresentation
bin111011111111101…
…1111011000101010
312012022001201101200
41313333133120222
513110330213310
6531432225030
7100613225316
oct16777373052
95168051350
102013132330
119433a7130
1248223b176
132610c4881
14151516b46
15bbb089c0
hex77fdf62a

2013132330 has 96 divisors (see below), whose sum is σ = 5717986560. Its totient is φ = 487347840.

The previous prime is 2013132323. The next prime is 2013132361. The reversal of 2013132330 is 332313102.

2013132330 is a `hidden beast` number, since 20 + 1 + 313 + 2 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1408056 + ... + 1409484.

It is an arithmetic number, because the mean of its divisors is an integer number (59562360).

Almost surely, 22013132330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858993280).

2013132330 is an abundant number, since it is smaller than the sum of its proper divisors (3704854230).

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

2013132330 is a wasteful number, since it uses less digits than its factorization.

2013132330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2013132330 is about 44867.9432334490. The cubic root of 2013132330 is about 1262.6726526614.

Adding to 2013132330 its reverse (332313102), we get a palindrome (2345445432).

The spelling of 2013132330 in words is "two billion, thirteen million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1423 1429 2846 2858 4269 4287 7115 7145 8538 8574 12807 12861 14230 14290 15653 15719 21345 21435 25614 25722 31306 31438 42690 42870 46959 47157 64035 64305 78265 78595 93918 94314 128070 128610 140877 141471 156530 157190 234795 235785 281754 282942 469590 471570 704385 707355 1408770 1414710 2033467 4066934 6100401 10167335 12200802 18301203 20334670 22368137 30502005 36602406 44736274 61004010 67104411 91506015 111840685 134208822 183012030 201313233 223681370 335522055 402626466 671044110 1006566165 2013132330