Search a number
-
+
100217019 = 3747101537
BaseRepresentation
bin1011111100100…
…11000010111011
320222120112220110
411332103002323
5201123421034
613535555403
72324554620
oct576230273
9228515813
10100217019
115162a591
122968bb63
13179bb516
14d44a347
158be8de9
hex5f930bb

100217019 has 16 divisors (see below), whose sum is σ = 155962368. Its totient is φ = 56047872.

The previous prime is 100217009. The next prime is 100217027. The reversal of 100217019 is 910712001.

It is not a de Polignac number, because 100217019 - 213 = 100208827 is a prime.

It is a super-2 number, since 2×1002170192 = 20086901794492722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100216986 and 100217004.

It is not an unprimeable number, because it can be changed into a prime (100217009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49782 + ... + 51755.

It is an arithmetic number, because the mean of its divisors is an integer number (9747648).

Almost surely, 2100217019 is an apocalyptic number.

100217019 is a deficient number, since it is larger than the sum of its proper divisors (55745349).

100217019 is a wasteful number, since it uses less digits than its factorization.

100217019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101594.

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 100217019 is about 10010.8450692237. The cubic root of 100217019 is about 464.4944117471.

The spelling of 100217019 in words is "one hundred million, two hundred seventeen thousand, nineteen".

Divisors: 1 3 7 21 47 141 329 987 101537 304611 710759 2132277 4772239 14316717 33405673 100217019