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2142413130 = 2351113499397
BaseRepresentation
bin111111110110010…
…1010000101001010
312112022022212022110
41333230222011022
513341424210010
6552331203150
7104043132264
oct17754520512
95468285273
102142413130
119aa377770
124b95a64b6
13281b1aba0
1416476ab34
15c8144120
hex7fb2a14a

2142413130 has 64 divisors (see below), whose sum is σ = 6040718208. Its totient is φ = 479420160.

The previous prime is 2142413129. The next prime is 2142413149. The reversal of 2142413130 is 313142412.

It is a junction number, because it is equal to n+sod(n) for n = 2142413097 and 2142413106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245409 + ... + 253988.

It is an arithmetic number, because the mean of its divisors is an integer number (94386222).

Almost surely, 22142413130 is an apocalyptic number.

2142413130 is an abundant number, since it is smaller than the sum of its proper divisors (3898305078).

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

2142413130 is a wasteful number, since it uses less digits than its factorization.

2142413130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499431.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2142413130 is about 46286.2088531779. The cubic root of 2142413130 is about 1289.1429377038.

Adding to 2142413130 its reverse (313142412), we get a palindrome (2455555542).

The spelling of 2142413130 in words is "two billion, one hundred forty-two million, four hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 4290 499397 998794 1498191 2496985 2996382 4993970 5493367 6492161 7490955 10986734 12984322 14981910 16480101 19476483 27466835 32460805 32960202 38952966 54933670 64921610 71413771 82400505 97382415 142827542 164801010 194764830 214241313 357068855 428482626 714137710 1071206565 2142413130