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2121313220 = 225138991673
BaseRepresentation
bin111111001110000…
…1010101111000100
312110211121212200022
41332130022233010
513321024010340
6550255034312
7103365602435
oct17634125704
95424555608
102121313220
11999476024
124b250b998
1327a640c30
14161a3748c
15c63773b5
hex7e70abc4

2121313220 has 48 divisors (see below), whose sum is σ = 4851388080. Its totient is φ = 774445056.

The previous prime is 2121313219. The next prime is 2121313223. The reversal of 2121313220 is 223131212.

It can be written as a sum of positive squares in 8 ways, for example, as 477335104 + 1643978116 = 21848^2 + 40546^2 .

It is not an unprimeable number, because it can be changed into a prime (2121313223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22697 + ... + 68976.

It is an arithmetic number, because the mean of its divisors is an integer number (101070585).

Almost surely, 22121313220 is an apocalyptic number.

2121313220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121313220 is an abundant number, since it is smaller than the sum of its proper divisors (2730074860).

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

2121313220 is a wasteful number, since it uses less digits than its factorization.

2121313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91784 (or 91782 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2121313220 is about 46057.7161830675. The cubic root of 2121313220 is about 1284.8968551607.

Adding to 2121313220 its reverse (223131212), we get a palindrome (2344444432).

The spelling of 2121313220 in words is "two billion, one hundred twenty-one million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 890 1157 1780 2314 4628 5785 11570 23140 91673 183346 366692 458365 916730 1191749 1833460 2383498 4766996 5958745 8158897 11917490 16317794 23834980 32635588 40794485 81588970 106065661 163177940 212131322 424262644 530328305 1060656610 2121313220