Search a number
-
+
20222211012100 = 2252557363055853
BaseRepresentation
bin1001001100100010110011…
…01101000011011000000100
32122121020001122200111210221
410212101121231003120010
510122310042004341400
6111001542215154124
74155002145325126
oct446213155033004
978536048614727
1020222211012100
116497211a19389
122327249675944
13b38c3c096606
144dca9012b216
1525105d21ac1a
hex126459b43604

20222211012100 has 36 divisors (see below), whose sum is σ = 43960981137444. Its totient is φ = 8074362148480.

The previous prime is 20222211012061. The next prime is 20222211012137. The reversal of 20222211012100 is 121011222202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6483979805956 + 13738231206144 = 2546366^2 + 3706512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181472227 + ... + 181583626.

It is an arithmetic number, because the mean of its divisors is an integer number (1221138364929).

Almost surely, 220222211012100 is an apocalyptic number.

20222211012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222211012100 is an abundant number, since it is smaller than the sum of its proper divisors (23738770125344).

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

20222211012100 is a wasteful number, since it uses less digits than its factorization.

20222211012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363056424 (or 363056417 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20222211012100 its reverse (121011222202), we get a palindrome (20343222234302).

The spelling of 20222211012100 in words is "twenty trillion, two hundred twenty-two billion, two hundred eleven million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 557 1114 2228 2785 5570 11140 13925 27850 55700 363055853 726111706 1452223412 1815279265 3630558530 7261117060 9076396325 18152792650 36305585300 202222110121 404444220242 808888440484 1011110550605 2022221101210 4044442202420 5055552753025 10111105506050 20222211012100