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214007031 = 3273396937
BaseRepresentation
bin11001100000101…
…11110011110111
3112220200200110100
430300113303313
5414241211111
633122525143
75206013130
oct1460276367
9486620410
10214007031
11aa88a717
125b8067b3
133544c9a4
14205cac87
1513bc4756
hexcc17cf7

214007031 has 12 divisors (see below), whose sum is σ = 353281552. Its totient is φ = 122289696.

The previous prime is 214007029. The next prime is 214007069. The reversal of 214007031 is 130700412.

It is not a de Polignac number, because 214007031 - 21 = 214007029 is a prime.

It is a super-2 number, since 2×2140070312 = 91598018634869922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 214006995 and 214007013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214007021) 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 11 ways as a sum of consecutive naturals, for example, 1698406 + ... + 1698531.

Almost surely, 2214007031 is an apocalyptic number.

214007031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

214007031 is a deficient number, since it is larger than the sum of its proper divisors (139274521).

214007031 is a wasteful number, since it uses less digits than its factorization.

214007031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396950 (or 3396947 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 214007031 is about 14628.9791509866. The cubic root of 214007031 is about 598.1489535845.

Adding to 214007031 its reverse (130700412), we get a palindrome (344707443).

The spelling of 214007031 in words is "two hundred fourteen million, seven thousand, thirty-one".

Divisors: 1 3 7 9 21 63 3396937 10190811 23778559 30572433 71335677 214007031