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100216241 = 1721918251
BaseRepresentation
bin1011111100100…
…10110110110001
320222120111211122
411332102312301
5201123404431
613535552025
72324552426
oct576226661
9228514748
10100216241
1151629a44
122968b615
13179bb068
14d449d4d
158be8a7b
hex5f92db1

100216241 has 12 divisors (see below), whose sum is σ = 112067280. Its totient is φ = 89352000.

The previous prime is 100216231. The next prime is 100216253. The reversal of 100216241 is 142612001.

It is not a de Polignac number, because 100216241 - 214 = 100199857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100216231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3635 + ... + 14616.

It is an arithmetic number, because the mean of its divisors is an integer number (9338940).

Almost surely, 2100216241 is an apocalyptic number.

It is an amenable number.

100216241 is a deficient number, since it is larger than the sum of its proper divisors (11851039).

100216241 is a wasteful number, since it uses less digits than its factorization.

100216241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18304 (or 18287 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 100216241 is about 10010.8062112899. The cubic root of 100216241 is about 464.4932097637.

Adding to 100216241 its reverse (142612001), we get a palindrome (242828242).

The spelling of 100216241 in words is "one hundred million, two hundred sixteen thousand, two hundred forty-one".

Divisors: 1 17 19 289 323 5491 18251 310267 346769 5274539 5895073 100216241