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214324131 = 3773251557
BaseRepresentation
bin11001100011001…
…01001110100011
3112221021210102210
430301211032203
5414331333011
633133413203
75211503460
oct1461451643
9487253383
10214324131
11aaa8698a
125b93a203
1335531118
1420670667
1513c386a6
hexcc653a3

214324131 has 32 divisors (see below), whose sum is σ = 332978688. Its totient is φ = 120096000.

The previous prime is 214324129. The next prime is 214324139. The reversal of 214324131 is 131423412.

214324131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214324131 - 21 = 214324129 is a prime.

It is a super-2 number, since 2×2143241312 = 91869666257810322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 214324098 and 214324107.

It is not an unprimeable number, because it can be changed into a prime (214324139) 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, 384505 + ... + 385061.

It is an arithmetic number, because the mean of its divisors is an integer number (10405584).

Almost surely, 2214324131 is an apocalyptic number.

214324131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

214324131 is a deficient number, since it is larger than the sum of its proper divisors (118654557).

214324131 is a wasteful number, since it uses less digits than its factorization.

214324131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891.

The product of its digits is 576, while the sum is 21.

The square root of 214324131 is about 14639.8132160216. The cubic root of 214324131 is about 598.4442389436. Note that the first 3 decimals are identical.

Adding to 214324131 its reverse (131423412), we get a palindrome (345747543).

The spelling of 214324131 in words is "two hundred fourteen million, three hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 21 73 219 251 511 557 753 1533 1671 1757 3899 5271 11697 18323 40661 54969 121983 128261 139807 284627 384783 419421 853881 978649 2935947 10205911 30617733 71441377 214324131