Search a number
-
+
22120012100 = 2252221200121
BaseRepresentation
bin10100100110011101…
…001001100101000100
32010002120201001010102
4110212131021211010
5330300210341400
614054540343232
71412104000124
oct244635114504
963076631112
1022120012100
11942119653a
124353b44b18
132116981574
1410dbaa0c84
15896e379d5
hex526749944

22120012100 has 18 divisors (see below), whose sum is σ = 48000426474. Its totient is φ = 8848004800.

The previous prime is 22120012091. The next prime is 22120012127. The reversal of 22120012100 is 121002122.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1768707136 + 20351304964 = 42056^2 + 142658^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110599961 + ... + 110600160.

Almost surely, 222120012100 is an apocalyptic number.

22120012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120012100 is an abundant number, since it is smaller than the sum of its proper divisors (25880414374).

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

22120012100 is a wasteful number, since it uses less digits than its factorization.

22120012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221200135 (or 221200128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22120012100 its reverse (121002122), we get a palindrome (22241014222).

The spelling of 22120012100 in words is "twenty-two billion, one hundred twenty million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 221200121 442400242 884800484 1106000605 2212001210 4424002420 5530003025 11060006050 22120012100