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2120331200 = 265213101939
BaseRepresentation
bin111111001100001…
…1010111111000000
312110202202222121012
41332120122333000
513320301044300
6550222020052
7103354342421
oct17630327700
95422688535
102120331200
11998965239
124b2117628
1327a388c60
1416185d648
15c6231435
hex7e61afc0

2120331200 has 84 divisors (see below), whose sum is σ = 5618728920. Its totient is φ = 782883840.

The previous prime is 2120331181. The next prime is 2120331223. The reversal of 2120331200 is 21330212.

It is a happy number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 30170 + ... + 71769.

It is an arithmetic number, because the mean of its divisors is an integer number (66889630).

Almost surely, 22120331200 is an apocalyptic number.

2120331200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120331200 is an abundant number, since it is smaller than the sum of its proper divisors (3498397720).

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

2120331200 is a wasteful number, since it uses less digits than its factorization.

2120331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101974 (or 101959 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2120331200 is about 46047.0541945953. The cubic root of 2120331200 is about 1284.6985520286.

Adding to 2120331200 its reverse (21330212), we get a palindrome (2141661412).

The spelling of 2120331200 in words is "two billion, one hundred twenty million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 20800 101939 203878 407756 509695 815512 1019390 1325207 1631024 2038780 2548475 2650414 3262048 4077560 5096950 5300828 6524096 6626035 8155120 10193900 10601656 13252070 16310240 20387800 21203312 26504140 32620480 33130175 40775600 42406624 53008280 66260350 81551200 84813248 106016560 132520700 163102400 212033120 265041400 424066240 530082800 1060165600 2120331200