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100022221122021 = 33111730531946081
BaseRepresentation
bin10110101111100000111100…
…111101011010100111100101
3111010011000211120021111011000
4112233200330331122213211
5101102231002101401041
6552421323554303513
730032236611436452
oct2657407475324745
9433130746244130
10100022221122021
1129963205282030
12b274b87587b99
1343a7093a39263
141a9b15c0b2829
15b86c1a52abb6
hex5af83cf5a9e5

100022221122021 has 32 divisors (see below), whose sum is σ = 161653091725440. Its totient is φ = 60619146508800.

The previous prime is 100022221122011. The next prime is 100022221122097. The reversal of 100022221122021 is 120221122220001.

It is a happy number.

100022221122021 is a `hidden beast` number, since 10 + 0 + 0 + 222 + 211 + 220 + 2 + 1 = 666.

It is not a de Polignac number, because 100022221122021 - 217 = 100022220990949 is a prime.

It is a super-2 number, since 2×1000222211220212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100022221121985 and 100022221122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022221122011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50423701 + ... + 52369781.

It is an arithmetic number, because the mean of its divisors is an integer number (5051659116420).

Almost surely, 2100022221122021 is an apocalyptic number.

100022221122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100022221122021 is a deficient number, since it is larger than the sum of its proper divisors (61630870603419).

100022221122021 is a wasteful number, since it uses less digits than its factorization.

100022221122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119154 (or 2119148 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100022221122021 its reverse (120221122220001), we get a palindrome (220243343342022).

The spelling of 100022221122021 in words is "one hundred trillion, twenty-two billion, two hundred twenty-one million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 11 27 33 99 297 173053 519159 1557477 1903583 1946081 4672431 5710749 5838243 17132247 17514729 21406891 51396741 52544187 64220673 192662019 577986057 336775155293 1010325465879 3030976397637 3704526708223 9092929192911 11113580124669 33340740374007 100022221122021