Search a number
-
+
22121322100 = 2252221213221
BaseRepresentation
bin10100100110100010…
…001001011001110100
32010002200011121002221
4110212202021121310
5330301024301400
614055024412124
71412121064303
oct244642113164
963080147087
1022121322100
119421a00789
124354477044
13211701c907
1410dbd2243a
158970e5c1a
hex526889674

22121322100 has 18 divisors (see below), whose sum is σ = 48003269174. Its totient is φ = 8848528800.

The previous prime is 22121322077. The next prime is 22121322103. The reversal of 22121322100 is 122312122.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 97574884 + 22023747216 = 9878^2 + 148404^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121322103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110606511 + ... + 110606710.

Almost surely, 222121322100 is an apocalyptic number.

22121322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121322100 is an abundant number, since it is smaller than the sum of its proper divisors (25881947074).

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

22121322100 is a wasteful number, since it uses less digits than its factorization.

22121322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221213235 (or 221213228 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22121322100 its reverse (122312122), we get a palindrome (22243634222).

The spelling of 22121322100 in words is "twenty-two billion, one hundred twenty-one million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 221213221 442426442 884852884 1106066105 2212132210 4424264420 5530330525 11060661050 22121322100