Search a number
-
+
214240101 = 32331372707
BaseRepresentation
bin11001100010100…
…00101101100101
3112221010112011120
430301100231211
5414321140401
633131524153
75211003465
oct1461205545
9487115146
10214240101
11aaa29839
125b8b9659
1335501aba
142064bba5
1513c1d836
hexcc50b65

214240101 has 32 divisors (see below), whose sum is σ = 316121088. Its totient is φ = 128589120.

The previous prime is 214240099. The next prime is 214240123. The reversal of 214240101 is 101042412.

It is not a de Polignac number, because 214240101 - 21 = 214240099 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214242101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77790 + ... + 80496.

It is an arithmetic number, because the mean of its divisors is an integer number (9878784).

Almost surely, 2214240101 is an apocalyptic number.

It is an amenable number.

214240101 is a deficient number, since it is larger than the sum of its proper divisors (101880987).

214240101 is a wasteful number, since it uses less digits than its factorization.

214240101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 214240101 is about 14636.9430210000. The cubic root of 214240101 is about 598.3660181002.

Adding to 214240101 its reverse (101042412), we get a palindrome (315282513).

The spelling of 214240101 in words is "two hundred fourteen million, two hundred forty thousand, one hundred one".

Divisors: 1 3 23 31 37 69 93 111 713 851 1147 2139 2553 2707 3441 8121 26381 62261 79143 83917 100159 186783 251751 300477 1930091 2303657 3104929 5790273 6910971 9314787 71413367 214240101