Search a number
-
+
100216215 = 325111931049
BaseRepresentation
bin1011111100100…
…10110110010111
320222120111210200
411332102312113
5201123404330
613535551543
72324552361
oct576226627
9228514720
10100216215
1151629a20
122968b5b3
13179bb048
14d449d31
158be8a60
hex5f92d97

100216215 has 48 divisors (see below), whose sum is σ = 190663200. Its totient is φ = 48291840.

The previous prime is 100216213. The next prime is 100216231. The reversal of 100216215 is 512612001.

It is not a de Polignac number, because 100216215 - 21 = 100216213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100216213) 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 47 ways as a sum of consecutive naturals, for example, 95011 + ... + 96059.

It is an arithmetic number, because the mean of its divisors is an integer number (3972150).

Almost surely, 2100216215 is an apocalyptic number.

100216215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100216215 is a deficient number, since it is larger than the sum of its proper divisors (90446985).

100216215 is a wasteful number, since it uses less digits than its factorization.

100216215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 100216215 is about 10010.8049126931. The cubic root of 100216215 is about 464.4931695945.

Adding to 100216215 its reverse (512612001), we get a palindrome (612828216).

The spelling of 100216215 in words is "one hundred million, two hundred sixteen thousand, two hundred fifteen".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 193 495 579 965 1049 1737 2123 2895 3147 5245 6369 8685 9441 10615 11539 15735 19107 31845 34617 47205 57695 95535 103851 173085 202457 519255 607371 1012285 1822113 2227027 3036855 6681081 9110565 11135135 20043243 33405405 100216215