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2130413130 = 233519340883
BaseRepresentation
bin111111011111011…
…1000011001001010
312111110202012102000
41332332320121022
513330341210010
6551222051430
7103536132666
oct17676703112
95443665360
102130413130
119a3620a0a
124b5579b76
1327c4a8bb1
14162d258a6
15c70737c0
hex7efb864a

2130413130 has 64 divisors (see below), whose sum is σ = 5710677120. Its totient is φ = 565152768.

The previous prime is 2130413101. The next prime is 2130413147. The reversal of 2130413130 is 313140312.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31669 + ... + 72551.

It is an arithmetic number, because the mean of its divisors is an integer number (89229330).

Almost surely, 22130413130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130413130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855338560).

2130413130 is an abundant number, since it is smaller than the sum of its proper divisors (3580263990).

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

2130413130 is a wasteful number, since it uses less digits than its factorization.

2130413130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41092 (or 41086 counting only the distinct ones).

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

The square root of 2130413130 is about 46156.3985813451. The cubic root of 2130413130 is about 1286.7315309844.

Adding to 2130413130 its reverse (313140312), we get a palindrome (2443553442).

The spelling of 2130413130 in words is "two billion, one hundred thirty million, four hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 193 270 386 579 965 1158 1737 1930 2895 3474 5211 5790 8685 10422 17370 26055 40883 52110 81766 122649 204415 245298 367947 408830 613245 735894 1103841 1226490 1839735 2207682 3679470 5519205 7890419 11038410 15780838 23671257 39452095 47342514 71013771 78904190 118356285 142027542 213041313 236712570 355068855 426082626 710137710 1065206565 2130413130