Search a number
-
+
10022440401 = 322659141879
BaseRepresentation
bin10010101010110001…
…00100110111010001
3221212110222201120100
421111120210313101
5131011221043101
64334303403013
7503236223601
oct112530446721
927773881510
1010022440401
1142834518a6
121b385b3469
13c3954660c
146b1124c01
153d9d41e86
hex255624dd1

10022440401 has 12 divisors (see below), whose sum is σ = 14477748480. Its totient is φ = 6681216120.

The previous prime is 10022440391. The next prime is 10022440403. The reversal of 10022440401 is 10404422001.

10022440401 is a `hidden beast` number, since 1 + 0 + 0 + 224 + 40 + 401 = 666.

It is a de Polignac number, because none of the positive numbers 2k-10022440401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10022440403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218380 + ... + 260258.

It is an arithmetic number, because the mean of its divisors is an integer number (1206479040).

Almost surely, 210022440401 is an apocalyptic number.

It is an amenable number.

10022440401 is a deficient number, since it is larger than the sum of its proper divisors (4455308079).

10022440401 is a wasteful number, since it uses less digits than its factorization.

10022440401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68476 (or 68473 counting only the distinct ones).

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

Adding to 10022440401 its reverse (10404422001), we get a palindrome (20426862402).

It can be divided in two parts, 100224 and 40401, that added together give a square (140625 = 3752).

The spelling of 10022440401 in words is "ten billion, twenty-two million, four hundred forty thousand, four hundred one".

Divisors: 1 3 9 26591 41879 79773 125637 239319 376911 1113604489 3340813467 10022440401