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216217101 = 31718112341
BaseRepresentation
bin11001110001100…
…11011000001101
3120001211222002210
430320303120031
5420322421401
633242141033
75233546362
oct1470633015
9501758083
10216217101
1110105a121
12604b1779
1335a44919
1420a04469
1513eae4d6
hexce3360d

216217101 has 16 divisors (see below), whose sum is σ = 305546688. Its totient is φ = 135532800.

The previous prime is 216217039. The next prime is 216217117. The reversal of 216217101 is 101712612.

It is a happy number.

216217101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 216217101 - 26 = 216217037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216217801) 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, 91191 + ... + 93531.

It is an arithmetic number, because the mean of its divisors is an integer number (19096668).

Almost surely, 2216217101 is an apocalyptic number.

It is an amenable number.

216217101 is a deficient number, since it is larger than the sum of its proper divisors (89329587).

216217101 is a wasteful number, since it uses less digits than its factorization.

216217101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172.

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 216217101 is about 14704.3225277467. The cubic root of 216217101 is about 600.2009521340.

Adding to 216217101 its reverse (101712612), we get a palindrome (317929713).

The spelling of 216217101 in words is "two hundred sixteen million, two hundred seventeen thousand, one hundred one".

Divisors: 1 3 17 51 1811 2341 5433 7023 30787 39797 92361 119391 4239551 12718653 72072367 216217101