Search a number
-
+
100211431 = 6712171229
BaseRepresentation
bin1011111100100…
…01101011100111
320222120021020111
411332101223213
5201123231211
613535513451
72324532415
oct576215347
9228507214
10100211431
1151626371
1229688887
13179b8b08
14d4482b5
158be7421
hex5f91ae7

100211431 has 8 divisors (see below), whose sum is σ = 101873520. Its totient is φ = 98554368.

The previous prime is 100211389. The next prime is 100211477. The reversal of 100211431 is 134112001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100211431 - 27 = 100211303 is a prime.

It is a super-2 number, since 2×1002114312 = 20084661806135522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211131) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 80925 + ... + 82153.

It is an arithmetic number, because the mean of its divisors is an integer number (12734190).

Almost surely, 2100211431 is an apocalyptic number.

100211431 is a deficient number, since it is larger than the sum of its proper divisors (1662089).

100211431 is a wasteful number, since it uses less digits than its factorization.

100211431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 100211431 is about 10010.5659680160. The cubic root of 100211431 is about 464.4857783399.

Adding to 100211431 its reverse (134112001), we get a palindrome (234323432).

The spelling of 100211431 in words is "one hundred million, two hundred eleven thousand, four hundred thirty-one".

Divisors: 1 67 1217 1229 81539 82343 1495693 100211431