Search a number
-
+
10022012100 = 223252472712
BaseRepresentation
bin10010101010101101…
…11100010011000100
3221212110011222001100
421111112330103010
5131011113341400
64334250300100
7503232461112
oct112526742304
927773158040
1010022012100
11428318a031
121b38427630
13c39426699
146b1052ab2
153d9caa100
hex2555bc4c4

10022012100 has 243 divisors, whose sum is σ = 32554455661. Its totient is φ = 2578833600.

The previous prime is 10022012069. The next prime is 10022012113. The reversal of 10022012100 is 121022001.

The square root of 10022012100 is 100110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3607924356 + 6414087744 = 60066^2 + 80088^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 141155065 + ... + 141155135.

Almost surely, 210022012100 is an apocalyptic number.

10022012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10022012100 is the 100110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022012100

10022012100 is an abundant number, since it is smaller than the sum of its proper divisors (22532443561).

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

10022012100 is a wasteful number, since it uses less digits than its factorization.

10022012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10022012100 its reverse (121022001), we get a palindrome (10143034101).

Subtracting from 10022012100 its reverse (121022001), we obtain a palindrome (9900990099).

It can be divided in two parts, 1002 and 2012100, that added together give a palindrome (2013102).

The spelling of 10022012100 in words is "ten billion, twenty-two million, twelve thousand, one hundred".