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20132302122 = 23217463142099
BaseRepresentation
bin10010101111111110…
…101000110100101010
31220222001110220122100
4102233332220310222
5312212332131442
613125413034230
71311616513242
oct225776506452
956861426570
1020132302122
1185a1183619
123a9a325976
131b8ac1b20a
14d8dac4b22
157cc6a184c
hex4affa8d2a

20132302122 has 48 divisors (see below), whose sum is σ = 46285948800. Its totient is φ = 6302330496.

The previous prime is 20132302087. The next prime is 20132302123. The reversal of 20132302122 is 22120323102.

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 = 20132302095 and 20132302104.

It is not an unprimeable number, because it can be changed into a prime (20132302123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70629 + ... + 212727.

It is an arithmetic number, because the mean of its divisors is an integer number (964290600).

Almost surely, 220132302122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132302122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23142974400).

20132302122 is an abundant number, since it is smaller than the sum of its proper divisors (26153646678).

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

20132302122 is a wasteful number, since it uses less digits than its factorization.

20132302122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142587 (or 142584 counting only the distinct ones).

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

Adding to 20132302122 its reverse (22120323102), we get a palindrome (42252625224).

The spelling of 20132302122 in words is "twenty billion, one hundred thirty-two million, three hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 463 926 1389 2778 4167 7871 8334 15742 23613 47226 70839 141678 142099 284198 426297 852594 1278891 2415683 2557782 4831366 7247049 14494098 21741147 43482294 65791837 131583674 197375511 394751022 592126533 1118461229 1184253066 2236922458 3355383687 6710767374 10066151061 20132302122