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2120083120 = 24526501039
BaseRepresentation
bin111111001011101…
…1110011010110000
312110202022101022001
41332113132122300
513320220124440
6550212423344
7103352260231
oct17627363260
95422271261
102120083120
11998805911
124b2017b54
1327a30006c
141617d7088
15c61d2b9a
hex7e5de6b0

2120083120 has 20 divisors (see below), whose sum is σ = 4929193440. Its totient is φ = 848033216.

The previous prime is 2120083117. The next prime is 2120083123. The reversal of 2120083120 is 213800212.

It is an interprime number because it is at equal distance from previous prime (2120083117) and next prime (2120083123).

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2120083123) 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 3 ways as a sum of consecutive naturals, for example, 13250440 + ... + 13250599.

It is an arithmetic number, because the mean of its divisors is an integer number (246459672).

Almost surely, 22120083120 is an apocalyptic number.

2120083120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120083120 is an abundant number, since it is smaller than the sum of its proper divisors (2809110320).

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

2120083120 is a wasteful number, since it uses less digits than its factorization.

2120083120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26501052 (or 26501046 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2120083120 is about 46044.3603495586. The cubic root of 2120083120 is about 1284.6484465785.

Adding to 2120083120 its reverse (213800212), we get a palindrome (2333883332).

The spelling of 2120083120 in words is "two billion, one hundred twenty million, eighty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26501039 53002078 106004156 132505195 212008312 265010390 424016624 530020780 1060041560 2120083120