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21340030122 = 23619774297
BaseRepresentation
bin10011110111111101…
…110000010010101010
32001002020000212000000
4103313331300102222
5322201021430442
613445314523430
71353553156155
oct236775602252
961066025000
1021340030122
119060988534
124176896576
1320211ba078
141066266c9c
1584d716d4c
hex4f7f704aa

21340030122 has 56 divisors (see below), whose sum is σ = 48237382116. Its totient is φ = 7077139776.

The previous prime is 21340030109. The next prime is 21340030157. The reversal of 21340030122 is 22103004312.

21340030122 is a `hidden beast` number, since 2 + 1 + 340 + 0 + 301 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15472623321 + 5867406801 = 124389^2 + 76599^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21340030095 and 21340030104.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 250078 + ... + 324374.

Almost surely, 221340030122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21340030122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24118691058).

21340030122 is an abundant number, since it is smaller than the sum of its proper divisors (26897351994).

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

21340030122 is an equidigital number, since it uses as much as digits as its factorization.

21340030122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74514 (or 74499 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21340030122 its reverse (22103004312), we get a palindrome (43443034434).

The spelling of 21340030122 in words is "twenty-one billion, three hundred forty million, thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 197 243 394 486 591 729 1182 1458 1773 3546 5319 10638 15957 31914 47871 74297 95742 143613 148594 222891 287226 445782 668673 1337346 2006019 4012038 6018057 12036114 14636509 18054171 29273018 36108342 43909527 54162513 87819054 108325026 131728581 263457162 395185743 790371486 1185557229 2371114458 3556671687 7113343374 10670015061 21340030122