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2130120330 = 2351322724061
BaseRepresentation
bin111111011110111…
…0000111010001010
312111110012022202120
41332331300322022
513330302322310
6551211512110
7103533503232
oct17675607212
95443168676
102130120330
119a3440a28
124b5458636
1327c405840
14162c8acc2
15c7016b70
hex7ef70e8a

2130120330 has 64 divisors (see below), whose sum is σ = 5530025088. Its totient is φ = 522005760.

The previous prime is 2130120313. The next prime is 2130120331. The reversal of 2130120330 is 330210312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2130120331) by changing a digit.

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, 76500 + ... + 100560.

It is an arithmetic number, because the mean of its divisors is an integer number (86406642).

Almost surely, 22130120330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765012544).

2130120330 is an abundant number, since it is smaller than the sum of its proper divisors (3399904758).

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

2130120330 is a wasteful number, since it uses less digits than its factorization.

2130120330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24311.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2130120330 is about 46153.2266477654. The cubic root of 2130120330 is about 1286.6725796245.

Adding to 2130120330 its reverse (330210312), we get a palindrome (2460330642).

The spelling of 2130120330 in words is "two billion, one hundred thirty million, one hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 227 390 454 681 1135 1362 2270 2951 3405 5902 6810 8853 14755 17706 24061 29510 44265 48122 72183 88530 120305 144366 240610 312793 360915 625586 721830 938379 1563965 1876758 3127930 4691895 5461847 9383790 10923694 16385541 27309235 32771082 54618470 71004011 81927705 142008022 163855410 213012033 355020055 426024066 710040110 1065060165 2130120330