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214010131 = 53792647
BaseRepresentation
bin11001100000110…
…00100100010011
3112220200211201011
430300120210103
5414241311011
633122551351
75206025146
oct1460304423
9486624634
10214010131
11aa891a85
125b808557
133545121a
14205cc05d
1513bc5621
hexcc18913

214010131 has 12 divisors (see below), whose sum is σ = 221184432. Its totient is φ = 206993904.

The previous prime is 214010123. The next prime is 214010141. The reversal of 214010131 is 131010412.

It is not a de Polignac number, because 214010131 - 23 = 214010123 is a prime.

It is a super-2 number, since 2×2140101312 = 91600672341274322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214010141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330450 + ... + 331096.

It is an arithmetic number, because the mean of its divisors is an integer number (18432036).

Almost surely, 2214010131 is an apocalyptic number.

214010131 is a deficient number, since it is larger than the sum of its proper divisors (7174301).

214010131 is an frugal number, since it uses more digits than its factorization.

214010131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 214010131 is about 14629.0851046810. The cubic root of 214010131 is about 598.1518417339.

Adding to 214010131 its reverse (131010412), we get a palindrome (345020543).

The spelling of 214010131 in words is "two hundred fourteen million, ten thousand, one hundred thirty-one".

Divisors: 1 53 79 647 4187 6241 34291 51113 330773 2708989 4037927 214010131