Search a number
-
+
2221313022100 = 225233765914333
BaseRepresentation
bin100000010100110000100…
…100101101100010010100
321212100121010100020102101
4200110300210231202110
5242343222113201400
64420242423051444
7316325131103524
oct40246044554224
97770533306371
102221313022100
11787065322a37
122ba6092a0b84
131316132a5413
14797253a7684
153cbac5d156a
hex2053092d894

2221313022100 has 36 divisors (see below), whose sum is σ = 4834552741564. Its totient is φ = 885888622080.

The previous prime is 2221313022041. The next prime is 2221313022107. The reversal of 2221313022100 is 12203131222.

It can be written as a sum of positive squares in 6 ways, for example, as 73411734916 + 2147901287184 = 270946^2 + 1465572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221313022107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32923467 + ... + 32990866.

Almost surely, 22221313022100 is an apocalyptic number.

2221313022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221313022100 is an abundant number, since it is smaller than the sum of its proper divisors (2613239719464).

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

2221313022100 is a wasteful number, since it uses less digits than its factorization.

2221313022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65914684 (or 65914677 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2221313022100 its reverse (12203131222), we get a palindrome (2233516153322).

The spelling of 2221313022100 in words is "two trillion, two hundred twenty-one billion, three hundred thirteen million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 337 674 1348 1685 3370 6740 8425 16850 33700 65914333 131828666 263657332 329571665 659143330 1318286660 1647858325 3295716650 6591433300 22213130221 44426260442 88852520884 111065651105 222131302210 444262604420 555328255525 1110656511050 2221313022100