Search a number
-
+
10020122200000 = 26551112735863
BaseRepresentation
bin1001000111001111110111…
…0100110000011111000000
31022110220200112200220222001
42101303331310300133000
52303132202240400000
633151103001353344
72052633653254363
oct221637564603700
938426615626861
1010020122200000
113213567837780
121159b72798854
13578b7cc4a543
14268d957440da
151259a679b46a
hex91cfdd307c0

10020122200000 has 336 divisors, whose sum is σ = 27326618984448. Its totient is φ = 3614889600000.

The previous prime is 10020122199977. The next prime is 10020122200007. The reversal of 10020122200000 is 222102001.

10020122200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10020122200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020122200007) 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, 279382069 + ... + 279417931.

It is an arithmetic number, because the mean of its divisors is an integer number (81329223168).

Almost surely, 210020122200000 is an apocalyptic number.

10020122200000 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 10020122200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13663309492224).

10020122200000 is an abundant number, since it is smaller than the sum of its proper divisors (17306496784448).

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

10020122200000 is an equidigital number, since it uses as much as digits as its factorization.

10020122200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36038 (or 36008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10020122200000 its reverse (222102001), we get a palindrome (10020344302001).

The spelling of 10020122200000 in words is "ten trillion, twenty billion, one hundred twenty-two million, two hundred thousand".