Search a number
-
+
812332100 = 22528123321
BaseRepresentation
bin110000011010110…
…011010001000100
32002121112202011002
4300122303101010
53130424111400
6212335032432
726062465106
oct6032632104
92077482132
10812332100
113875a4148
121a806b718
13cc3b00a8
1479c59576
154b4b0ed5
hex306b3444

812332100 has 18 divisors (see below), whose sum is σ = 1762760874. Its totient is φ = 324932800.

The previous prime is 812332093. The next prime is 812332109. The reversal of 812332100 is 1233218.

It can be written as a sum of positive squares in 3 ways, for example, as 5317636 + 807014464 = 2306^2 + 28408^2 .

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

It is not an unprimeable number, because it can be changed into a prime (812332109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4061561 + ... + 4061760.

Almost surely, 2812332100 is an apocalyptic number.

It is an amenable number.

812332100 is an abundant number, since it is smaller than the sum of its proper divisors (950428774).

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

812332100 is a wasteful number, since it uses less digits than its factorization.

812332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8123335 (or 8123328 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 812332100 is about 28501.4403144824. The cubic root of 812332100 is about 933.0635090201.

Adding to 812332100 its reverse (1233218), we get a palindrome (813565318).

The spelling of 812332100 in words is "eight hundred twelve million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 8123321 16246642 32493284 40616605 81233210 162466420 203083025 406166050 812332100