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2311322130 = 23251312371597
BaseRepresentation
bin1000100111000011…
…1111101000010010
312222002011022220100
42021300333220102
514213144302010
61021203353230
7111163625325
oct21160775022
95862138810
102311322130
11a86754587
12546082816
132aab0a740
1417cd787bc
15d7dab2c0
hex89c3fa12

2311322130 has 96 divisors (see below), whose sum is σ = 6480989424. Its totient is φ = 568124928.

The previous prime is 2311322113. The next prime is 2311322177. The reversal of 2311322130 is 312231132.

2311322130 is a `hidden beast` number, since 2 + 311 + 322 + 1 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 516698361 + 1794623769 = 22731^2 + 42363^2 .

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, 1446492 + ... + 1448088.

Almost surely, 22311322130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2311322130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240494712).

2311322130 is an abundant number, since it is smaller than the sum of its proper divisors (4169667294).

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

2311322130 is a wasteful number, since it uses less digits than its factorization.

2311322130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2311322130 is about 48076.2116851983. The cubic root of 2311322130 is about 1322.1685600889.

Adding to 2311322130 its reverse (312231132), we get a palindrome (2623553262).

The spelling of 2311322130 in words is "two billion, three hundred eleven million, three hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1237 1597 2474 3194 3711 4791 6185 7422 7985 9582 11133 12370 14373 15970 16081 18555 20761 22266 23955 28746 32162 37110 41522 47910 48243 55665 62283 71865 80405 96486 103805 111330 124566 143730 144729 160810 186849 207610 241215 289458 311415 373698 482430 622830 723645 934245 1447290 1868490 1975489 3950978 5926467 9877445 11852934 17779401 19754890 25681357 29632335 35558802 51362714 59264670 77044071 88897005 128406785 154088142 177794010 231132213 256813570 385220355 462264426 770440710 1155661065 2311322130