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2132213130 = 232523691257
BaseRepresentation
bin111111100010110…
…1111110110001010
312111121010122112200
41333011233312022
513331321310010
6551324421030
7103560340545
oct17705576612
95447118480
102132213130
119a4640313
124b60a7776
1327c989298
1416327385c
15c72cbcc0
hex7f16fd8a

2132213130 has 24 divisors (see below), whose sum is σ = 5543754372. Its totient is φ = 568590144.

The previous prime is 2132213099. The next prime is 2132213143. The reversal of 2132213130 is 313122312.

2132213130 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1964173761 + 168039369 = 44319^2 + 12963^2 .

It is a super-3 number, since 3×21322131303 (a number of 29 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 11845539 + ... + 11845718.

Almost surely, 22132213130 is an apocalyptic number.

2132213130 is an abundant number, since it is smaller than the sum of its proper divisors (3411541242).

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

2132213130 is a wasteful number, since it uses less digits than its factorization.

2132213130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23691270 (or 23691267 counting only the distinct ones).

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

The square root of 2132213130 is about 46175.8933860516. The cubic root of 2132213130 is about 1287.0938182686.

Adding to 2132213130 its reverse (313122312), we get a palindrome (2445335442).

The spelling of 2132213130 in words is "two billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 23691257 47382514 71073771 118456285 142147542 213221313 236912570 355368855 426442626 710737710 1066106565 2132213130