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22131033021 = 3223314773379
BaseRepresentation
bin10100100111000111…
…001100001110111101
32010010100102221222200
4110213013030032331
5330311021024041
614100012502113
71412266451106
oct244707141675
963110387880
1022131033021
119427433739
12435777a939
13211903ca16
1410dd32d3ad
15897db31b6
hex5271cc3bd

22131033021 has 48 divisors (see below), whose sum is σ = 35166044160. Its totient is φ = 13366536480.

The previous prime is 22131033011. The next prime is 22131033031. The reversal of 22131033021 is 12033013122.

22131033021 is a `hidden beast` number, since 2 + 2 + 1 + 310 + 330 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (22131033011) and next prime (22131033031).

It is not a de Polignac number, because 22131033021 - 221 = 22128935869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22131032985 and 22131033003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131033011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264910 + ... + 338288.

It is an arithmetic number, because the mean of its divisors is an integer number (732625920).

Almost surely, 222131033021 is an apocalyptic number.

It is an amenable number.

22131033021 is a deficient number, since it is larger than the sum of its proper divisors (13035011139).

22131033021 is a wasteful number, since it uses less digits than its factorization.

22131033021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73486 (or 73483 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22131033021 its reverse (12033013122), we get a palindrome (34164046143).

The spelling of 22131033021 in words is "twenty-two billion, one hundred thirty-one million, thirty-three thousand, twenty-one".

Divisors: 1 3 9 23 31 47 69 93 141 207 279 423 713 1081 1457 2139 3243 4371 6417 9729 13113 33511 73379 100533 220137 301599 660411 1687717 2274749 3448813 5063151 6824247 10346439 15189453 20472741 31039317 52319227 79322699 106913203 156957681 237968097 320739609 470873043 713904291 962218827 2459003669 7377011007 22131033021