Search a number
-
+
1021002222240 = 2533571113236107
BaseRepresentation
bin11101101101110000111…
…10011000101010100000
310121121101101210212012000
432312320132120222200
5113212003032102430
62101013021004000
7133523246460450
oct16667036305240
93547341725160
101021002222240
11364006156360
12145a636b3600
13753844aac90
14375b9897d60
151b85a4a1e60
hexedb8798aa0

1021002222240 has 768 divisors, whose sum is σ = 4798016778240. Its totient is φ = 195835760640.

The previous prime is 1021002222169. The next prime is 1021002222293. The reversal of 1021002222240 is 422222001201.

1021002222240 is a `hidden beast` number, since 10 + 210 + 0 + 222 + 224 + 0 = 666.

1021002222240 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4206267 + ... + 4442373.

It is an arithmetic number, because the mean of its divisors is an integer number (6247417680).

Almost surely, 21021002222240 is an apocalyptic number.

1021002222240 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 1021002222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399008389120).

1021002222240 is an abundant number, since it is smaller than the sum of its proper divisors (3777014556000).

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

1021002222240 is a wasteful number, since it uses less digits than its factorization.

1021002222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236162 (or 236148 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1021002222240 its reverse (422222001201), we get a palindrome (1443224223441).

The spelling of 1021002222240 in words is "one trillion, twenty-one billion, two million, two hundred twenty-two thousand, two hundred forty".