Search a number
-
+
100222112022021 = 321119233228675077
BaseRepresentation
bin10110110010011011000111…
…011000101011111000000101
3111010212010210022021022120200
4112302123013120223320011
5101114014341134201041
6553053222550121113
730052544236160613
oct2662330730537005
9433763708238520
10100222112022021
1129a2aa604a6840
12b2a7872650199
1343bcb9b579902
141aa6ac18b46b3
15b8c0190ee1b6
hex5b26c762be05

100222112022021 has 48 divisors (see below), whose sum is σ = 166951100946240. Its totient is φ = 57296827042560.

The previous prime is 100222112022017. The next prime is 100222112022083. The reversal of 100222112022021 is 120220211222001.

It is a happy number.

100222112022021 is a `hidden beast` number, since 100 + 2 + 221 + 120 + 220 + 2 + 1 = 666.

It is not a de Polignac number, because 100222112022021 - 22 = 100222112022017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100222112021985 and 100222112022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222113022021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113899266 + ... + 114775811.

It is an arithmetic number, because the mean of its divisors is an integer number (3478147936380).

Almost surely, 2100222112022021 is an apocalyptic number.

100222112022021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222112022021 is a deficient number, since it is larger than the sum of its proper divisors (66728988924219).

100222112022021 is a wasteful number, since it uses less digits than its factorization.

100222112022021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228675346 (or 228675343 counting only the distinct ones).

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

Adding to 100222112022021 its reverse (120220211222001), we get a palindrome (220442323244022).

The spelling of 100222112022021 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twelve million, twenty-two thousand, twenty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 233 627 699 1881 2097 2563 4427 7689 13281 23067 39843 48697 146091 438273 228675077 686025231 2058075693 2515425847 4344826463 7546277541 13034479389 22638832623 39103438167 47793091093 53281292941 143379273279 159843878823 430137819837 479531636469 586094222351 1012344565879 1758282667053 3037033697637 5274848001159 9111101092911 11135790224669 33407370674007 100222112022021