Search a number
-
+
100067261 = 722042189
BaseRepresentation
bin1011111011011…
…10011110111101
320222021221110212
411331232132331
5201104123021
613532442205
72323362200
oct575563675
9228257425
10100067261
1151538018
1229619365
13179682c8
14d40b937
158bb985b
hex5f6e7bd

100067261 has 6 divisors (see below), whose sum is σ = 116404830. Its totient is φ = 85771896.

The previous prime is 100067221. The next prime is 100067269. The reversal of 100067261 is 162760001.

It can be written as a sum of positive squares in only one way, i.e., 90364036 + 9703225 = 9506^2 + 3115^2 .

It is not a de Polignac number, because 100067261 - 226 = 32958397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100067269) 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, 1021046 + ... + 1021143.

It is an arithmetic number, because the mean of its divisors is an integer number (19400805).

Almost surely, 2100067261 is an apocalyptic number.

It is an amenable number.

100067261 is a deficient number, since it is larger than the sum of its proper divisors (16337569).

100067261 is an equidigital number, since it uses as much as digits as its factorization.

100067261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042203 (or 2042196 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 100067261 is about 10003.3624846848. The cubic root of 100067261 is about 464.2629260069.

The spelling of 100067261 in words is "one hundred million, sixty-seven thousand, two hundred sixty-one".

Divisors: 1 7 49 2042189 14295323 100067261