Search a number
-
+
22220101122021 = 3311731039950147
BaseRepresentation
bin1010000110101100001010…
…01110111111011111100101
32220200012222001101211201000
411003112011032333133211
510403023231341401041
6115131435030023513
74452230551135155
oct503260516773745
986605861354630
1022220101122021
117097545896560
1225aa4a2aa7b99
13c524674892ca
1456b65c6b8765
15287ee0d7abb6
hex1435853bf7e5

22220101122021 has 64 divisors (see below), whose sum is σ = 36756642723840. Its totient is φ = 13153297000320.

The previous prime is 22220101122007. The next prime is 22220101122029. The reversal of 22220101122021 is 12022110102222.

It is a happy number.

22220101122021 is a `hidden beast` number, since 222 + 201 + 0 + 1 + 1 + 220 + 21 = 666.

It is not a de Polignac number, because 22220101122021 - 29 = 22220101121509 is a prime.

It is a super-2 number, since 2×222201011220212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22220101121985 and 22220101122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220101122029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2741931 + ... + 7208216.

It is an arithmetic number, because the mean of its divisors is an integer number (574322542560).

Almost surely, 222220101122021 is an apocalyptic number.

It is an amenable number.

22220101122021 is a deficient number, since it is larger than the sum of its proper divisors (14536541601819).

22220101122021 is a wasteful number, since it uses less digits than its factorization.

22220101122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9950343 (or 9950337 counting only the distinct ones).

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

Adding to 22220101122021 its reverse (12022110102222), we get a palindrome (34242211224243).

The spelling of 22220101122021 in words is "twenty-two trillion, two hundred twenty billion, one hundred one million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 11 27 33 73 99 103 219 297 309 657 803 927 1133 1971 2409 2781 3399 7227 7519 10197 21681 22557 30591 67671 82709 203013 248127 744381 2233143 9950147 29850441 89551323 109451617 268653969 328354851 726360731 985064553 1024865141 2179082193 2955193659 3074595423 6537246579 7989968041 9223786269 11273516551 19611739737 23969904123 27671358807 33820549653 71909712369 74815155293 101461648959 215729137107 224445465879 304384946877 673336397637 822966708223 2020009192911 2468900124669 7406700374007 22220101122021