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2120219990 = 257271111767
BaseRepresentation
bin111111001011111…
…1111110101010110
312110202120100001022
41332113333311112
513320234014430
6550215401142
7103353400250
oct17627776526
95422510038
102120219990
11998899729
124b20831b2
1327a34a455
14161830cd0
15c620d4e5
hex7e5ffd56

2120219990 has 32 divisors (see below), whose sum is σ = 4377729024. Its totient is φ = 724243680.

The previous prime is 2120219989. The next prime is 2120220023. The reversal of 2120219990 is 999120212.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2120219990.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36914 + ... + 74853.

It is an arithmetic number, because the mean of its divisors is an integer number (136804032).

Almost surely, 22120219990 is an apocalyptic number.

2120219990 is an abundant number, since it is smaller than the sum of its proper divisors (2257509034).

2120219990 is a wasteful number, since it uses less digits than its factorization.

2120219990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112052.

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 2120219990 is about 46045.8466096563. The cubic root of 2120219990 is about 1284.6760910998.

The spelling of 2120219990 in words is "two billion, one hundred twenty million, two hundred nineteen thousand, nine hundred ninety".

Divisors: 1 2 5 7 10 14 35 70 271 542 1355 1897 2710 3794 9485 18970 111767 223534 558835 782369 1117670 1564738 3911845 7823690 30288857 60577714 151444285 212021999 302888570 424043998 1060109995 2120219990