Search a number
-
+
10022222110020 = 22351731427374177
BaseRepresentation
bin1001000111010111101011…
…1111010001110101000100
31022111010002220001101222020
42101311322333101311010
52303201002330010040
633152051214003140
72053040002225131
oct221657277216504
938433086041866
1010022222110020
1132144451141aa
12115a459aa64b0
13579126006453
142691145a9588
15125a7ace6cd0
hex91d7afd1d44

10022222110020 has 192 divisors, whose sum is σ = 30679014352896. Its totient is φ = 2433637416960.

The previous prime is 10022222109937. The next prime is 10022222110057. The reversal of 10022222110020 is 2001122222001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135075172 + ... + 135149348.

It is an arithmetic number, because the mean of its divisors is an integer number (159786533088).

Almost surely, 210022222110020 is an apocalyptic number.

10022222110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022222110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15339507176448).

10022222110020 is an abundant number, since it is smaller than the sum of its proper divisors (20656792242876).

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

10022222110020 is a wasteful number, since it uses less digits than its factorization.

10022222110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78510 (or 78508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10022222110020 its reverse (2001122222001), we get a palindrome (12023344332021).

The spelling of 10022222110020 in words is "ten trillion, twenty-two billion, two hundred twenty-two million, one hundred ten thousand, twenty".