Search a number
-
+
216104031 = 371113691
BaseRepresentation
bin11001110000101…
…11110001011111
3120001122020000000
430320113301133
5420310312111
633235505343
75232565623
oct1470276137
9501566000
10216104031
11100a92180
1260458253
1335a05310
14209b5183
1513e8ac56
hexce17c5f

216104031 has 64 divisors (see below), whose sum is σ = 381319680. Its totient is φ = 120722400.

The previous prime is 216103981. The next prime is 216104041. The reversal of 216104031 is 130401612.

It is a happy number.

216104031 is a `hidden beast` number, since 21 + 610 + 4 + 0 + 31 = 666.

It is not a de Polignac number, because 216104031 - 210 = 216103007 is a prime.

It is a super-2 number, since 2×2161040312 = 93401904428897922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216103995 and 216104013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216104041) 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 63 ways as a sum of consecutive naturals, for example, 312396 + ... + 313086.

It is an arithmetic number, because the mean of its divisors is an integer number (5958120).

Almost surely, 2216104031 is an apocalyptic number.

216104031 is a deficient number, since it is larger than the sum of its proper divisors (165215649).

216104031 is an equidigital number, since it uses as much as digits as its factorization.

216104031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 216104031 is about 14700.4772371512. The cubic root of 216104031 is about 600.0963095400.

Adding to 216104031 its reverse (130401612), we get a palindrome (346505643).

The spelling of 216104031 in words is "two hundred sixteen million, one hundred four thousand, thirty-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 243 297 351 429 691 729 891 1053 1287 2073 2187 2673 3159 3861 6219 7601 8019 8983 9477 11583 18657 22803 24057 26949 28431 34749 55971 68409 80847 98813 104247 167913 205227 242541 296439 312741 503739 615681 727623 889317 1511217 1847043 2182869 2667951 5541129 6548607 8003853 16623387 19645821 24011559 72034677 216104031