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214303131 = 33710710597
BaseRepresentation
bin11001100011000…
…00000110011011
3112221020201122000
430301200012123
5414330200011
633133132043
75211355320
oct1461400633
9487221560
10214303131
11aaa72129
125b92a023
13355246b3
1420666b47
1513c32356
hexcc6019b

214303131 has 32 divisors (see below), whose sum is σ = 366266880. Its totient is φ = 121303008.

The previous prime is 214303087. The next prime is 214303153. The reversal of 214303131 is 131303412.

It is not a de Polignac number, because 214303131 - 29 = 214302619 is a prime.

It is a super-2 number, since 2×2143031312 = 91851663912806322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214303181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14925 + ... + 25521.

It is an arithmetic number, because the mean of its divisors is an integer number (11445840).

Almost surely, 2214303131 is an apocalyptic number.

214303131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

214303131 is a deficient number, since it is larger than the sum of its proper divisors (151963749).

214303131 is a wasteful number, since it uses less digits than its factorization.

214303131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10720 (or 10714 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 214303131 is about 14639.0959761865. The cubic root of 214303131 is about 598.4246926309.

Adding to 214303131 its reverse (131303412), we get a palindrome (345606543).

The spelling of 214303131 in words is "two hundred fourteen million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 107 189 321 749 963 2247 2889 6741 10597 20223 31791 74179 95373 222537 286119 667611 1133879 2002833 3401637 7937153 10204911 23811459 30614733 71434377 214303131