Search a number
-
+
22100112122020 = 2258669127466329
BaseRepresentation
bin1010000011001100101010…
…10101010010000010100100
32220020202020210221002100221
411001212111111102002210
510344042012200401040
6115000352405214124
74440452244355552
oct501462525220244
986222223832327
1022100112122020
117050672164949
12258b196a01344
13c44054653a1a
145659189d6bd2
15284d1bd4974a
hex1419955520a4

22100112122020 has 24 divisors (see below), whose sum is σ = 46415589406200. Its totient is φ = 8839025048832.

The previous prime is 22100112122017. The next prime is 22100112122029. The reversal of 22100112122020 is 2022121100122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1633391353764 + 20466720768256 = 1278042^2 + 4524016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22100112121985 and 22100112122003.

It is not an unprimeable number, because it can be changed into a prime (22100112122029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63559785 + ... + 63906544.

It is an arithmetic number, because the mean of its divisors is an integer number (1933982891925).

Almost surely, 222100112122020 is an apocalyptic number.

22100112122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100112122020 is an abundant number, since it is smaller than the sum of its proper divisors (24315477284180).

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

22100112122020 is a wasteful number, since it uses less digits than its factorization.

22100112122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127475007 (or 127475005 counting only the distinct ones).

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

Adding to 22100112122020 its reverse (2022121100122), we get a palindrome (24122233222142).

The spelling of 22100112122020 in words is "twenty-two trillion, one hundred billion, one hundred twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 8669 17338 34676 43345 86690 173380 127466329 254932658 509865316 637331645 1274663290 2549326580 1105005606101 2210011212202 4420022424404 5525028030505 11050056061010 22100112122020