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214135313 = 7234330931
BaseRepresentation
bin11001100001101…
…11001000010001
3112220221012102112
430300313020101
5414304312223
633125355105
75210056130
oct1460671021
9486835375
10214135313
11aa968037
125b868a95
13354961b2
1420621917
1513bec778
hexcc37211

214135313 has 16 divisors (see below), whose sum is σ = 261313536. Its totient is φ = 171475920.

The previous prime is 214135303. The next prime is 214135319. The reversal of 214135313 is 313531412.

It is not a de Polignac number, because 214135313 - 24 = 214135297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214135319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8543 + ... + 22388.

It is an arithmetic number, because the mean of its divisors is an integer number (16332096).

Almost surely, 2214135313 is an apocalyptic number.

214135313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

214135313 is a deficient number, since it is larger than the sum of its proper divisors (47178223).

214135313 is a wasteful number, since it uses less digits than its factorization.

214135313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31004.

The product of its digits is 1080, while the sum is 23.

The square root of 214135313 is about 14633.3630106001. The cubic root of 214135313 is about 598.2684456359.

Adding to 214135313 its reverse (313531412), we get a palindrome (527666725).

The spelling of 214135313 in words is "two hundred fourteen million, one hundred thirty-five thousand, three hundred thirteen".

Divisors: 1 7 23 43 161 301 989 6923 30931 216517 711413 1330033 4979891 9310231 30590759 214135313