Search a number
-
+
1010022100 = 225210100221
BaseRepresentation
bin111100001100111…
…011011011010100
32121101112102211221
4330030323123110
54032031201400
6244120140124
734013021563
oct7414733324
92541472757
101010022100
1147914960a
12242307644
13131338b19
14981d9bda
155da10c1a
hex3c33b6d4

1010022100 has 18 divisors (see below), whose sum is σ = 2191748174. Its totient is φ = 404008800.

The previous prime is 1010022089. The next prime is 1010022127. The reversal of 1010022100 is 12200101.

It can be written as a sum of positive squares in 3 ways, for example, as 185068816 + 824953284 = 13604^2 + 28722^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5050011 + ... + 5050210.

Almost surely, 21010022100 is an apocalyptic number.

1010022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010022100 is an abundant number, since it is smaller than the sum of its proper divisors (1181726074).

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

1010022100 is a wasteful number, since it uses less digits than its factorization.

1010022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100235 (or 10100228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1010022100 is about 31780.8448597579. The cubic root of 1010022100 is about 1003.3296014499.

Adding to 1010022100 its reverse (12200101), we get a palindrome (1022222201).

The spelling of 1010022100 in words is "one billion, ten million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10100221 20200442 40400884 50501105 101002210 202004420 252505525 505011050 1010022100