Search a number
-
+
10055311220 = 2253491440589
BaseRepresentation
bin10010101110101011…
…11101111101110100
3221221202211201212002
421113111331331310
5131043124424340
64341440114432
7504115510103
oct112725757564
927852751762
1010055311220
11429aa63169
121b47605a18
13c432b51c6
146b564003a
153dcb86715
hex25757df74

10055311220 has 24 divisors (see below), whose sum is σ = 21176673000. Its totient is φ = 4010596992.

The previous prime is 10055311199. The next prime is 10055311229. The reversal of 10055311220 is 2211355001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 52911076 + 10002400144 = 7274^2 + 100012^2 .

It is a super-2 number, since 2×100553112202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10055311192 and 10055311201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10055311229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 713315 + ... + 727274.

It is an arithmetic number, because the mean of its divisors is an integer number (882361375).

Almost surely, 210055311220 is an apocalyptic number.

10055311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10055311220 is an abundant number, since it is smaller than the sum of its proper divisors (11121361780).

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

10055311220 is a wasteful number, since it uses less digits than its factorization.

10055311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440947 (or 1440945 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 10055311220 its reverse (2211355001), we get a palindrome (12266666221).

The spelling of 10055311220 in words is "ten billion, fifty-five million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 349 698 1396 1745 3490 6980 1440589 2881178 5762356 7202945 14405890 28811780 502765561 1005531122 2011062244 2513827805 5027655610 10055311220