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2121023120 = 24526512789
BaseRepresentation
bin111111001101100…
…0011111010010000
312110211002010201212
41332123003322100
513320440214440
6550244515252
7103363253606
oct17633037220
95424063655
102121023120
11999298077
124b23abb28
1327a56bb88
1416199d876
15c631b465
hex7e6c3e90

2121023120 has 20 divisors (see below), whose sum is σ = 4931378940. Its totient is φ = 848409216.

The previous prime is 2121023119. The next prime is 2121023147. The reversal of 2121023120 is 213201212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1470569104 + 650454016 = 38348^2 + 25504^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2121023095 and 2121023104.

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 3 ways as a sum of consecutive naturals, for example, 13256315 + ... + 13256474.

It is an arithmetic number, because the mean of its divisors is an integer number (246568947).

Almost surely, 22121023120 is an apocalyptic number.

2121023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121023120 is an abundant number, since it is smaller than the sum of its proper divisors (2810355820).

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

2121023120 is a wasteful number, since it uses less digits than its factorization.

2121023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26512802 (or 26512796 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2121023120 is about 46054.5667659571. The cubic root of 2121023120 is about 1284.8382805056.

Adding to 2121023120 its reverse (213201212), we get a palindrome (2334224332).

The spelling of 2121023120 in words is "two billion, one hundred twenty-one million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26512789 53025578 106051156 132563945 212102312 265127890 424204624 530255780 1060511560 2121023120