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216755131 = 31431131439
BaseRepresentation
bin11001110101101…
…10101110111011
3120002212022010211
430322312232323
5420442131011
633301451551
75241250105
oct1472665673
9502768124
10216755131
1110139737a
1260710bb7
1335ba2798
1420b04575
1514068b21
hexceb6bbb

216755131 has 16 divisors (see below), whose sum is σ = 231137280. Its totient is φ = 202930560.

The previous prime is 216755113. The next prime is 216755137. The reversal of 216755131 is 131557612.

It is a cyclic number.

It is not a de Polignac number, because 216755131 - 29 = 216754619 is a prime.

It is a super-2 number, since 2×2167551312 = 93965573629654322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 216755093 and 216755102.

It is not an unprimeable number, because it can be changed into a prime (216755137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149910 + ... + 151348.

It is an arithmetic number, because the mean of its divisors is an integer number (14446080).

Almost surely, 2216755131 is an apocalyptic number.

216755131 is a deficient number, since it is larger than the sum of its proper divisors (14382149).

216755131 is a wasteful number, since it uses less digits than its factorization.

216755131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626.

The product of its digits is 6300, while the sum is 31.

The square root of 216755131 is about 14722.6061212001. The cubic root of 216755131 is about 600.6983821589.

The spelling of 216755131 in words is "two hundred sixteen million, seven hundred fifty-five thousand, one hundred thirty-one".

Divisors: 1 31 43 113 1333 1439 3503 4859 44609 61877 150629 162607 1918187 5040817 6992101 216755131