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3122001220 = 2251327312653
BaseRepresentation
bin1011101000010101…
…1111010101000100
322001120121002112211
42322011133111010
522343213014340
61233443153204
7140236400242
oct27205372504
98046532484
103122001220
1113623197a8
12731675804
133a9a5c300
142188c3792
151341425ea
hexba15f544

3122001220 has 72 divisors (see below), whose sum is σ = 7197139656. Its totient is φ = 1136858112.

The previous prime is 3122001161. The next prime is 3122001221. The reversal of 3122001220 is 221002213.

3122001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2672476416 + 449524804 = 51696^2 + 21202^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 3122001220.

It is not an unprimeable number, because it can be changed into a prime (3122001221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240414 + ... + 253066.

It is an arithmetic number, because the mean of its divisors is an integer number (99960273).

Almost surely, 23122001220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598569828).

3122001220 is an abundant number, since it is smaller than the sum of its proper divisors (4075138436).

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

3122001220 is a wasteful number, since it uses less digits than its factorization.

3122001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12761 (or 12746 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3122001220 is about 55874.8710960482. The cubic root of 3122001220 is about 1461.5410668566.

Adding to 3122001220 its reverse (221002213), we get a palindrome (3343003433).

The spelling of 3122001220 in words is "three billion, one hundred twenty-two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 169 260 292 338 365 676 730 845 949 1460 1690 1898 3380 3796 4745 9490 12337 12653 18980 24674 25306 49348 50612 61685 63265 123370 126530 164489 246740 253060 328978 657956 822445 923669 1644890 1847338 2138357 3289780 3694676 4276714 4618345 8553428 9236690 10691785 12007697 18473380 21383570 24015394 42767140 48030788 60038485 120076970 156100061 240153940 312200122 624400244 780500305 1561000610 3122001220