Search a number
-
+
101100834 = 23241136993
BaseRepresentation
bin1100000011010…
…10110100100010
321001020110021100
412001222310202
5201340211314
614010535230
72335225422
oct601526442
9231213240
10101100834
115208360a
1229a37516
1317c3a8a3
14d5da482
158d20c09
hex606ad22

101100834 has 24 divisors (see below), whose sum is σ = 224396172. Its totient is φ = 32878080.

The previous prime is 101100833. The next prime is 101100859. The reversal of 101100834 is 438001101.

It can be written as a sum of positive squares in 2 ways, for example, as 101062809 + 38025 = 10053^2 + 195^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101100833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67759 + ... + 69234.

Almost surely, 2101100834 is an apocalyptic number.

101100834 is an abundant number, since it is smaller than the sum of its proper divisors (123295338).

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

101100834 is a wasteful number, since it uses less digits than its factorization.

101100834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137042 (or 137039 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101100834 is about 10054.8910486390. The cubic root of 101100834 is about 465.8558777481.

Adding to 101100834 its reverse (438001101), we get a palindrome (539101935).

The spelling of 101100834 in words is "one hundred one million, one hundred thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 136993 273986 410979 821958 1232937 2465874 5616713 11233426 16850139 33700278 50550417 101100834