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214031013 = 37531031867
BaseRepresentation
bin11001100000111…
…01101010100101
3112220201220100120
430300131222211
5414242443023
633123232153
75206143060
oct1460355245
9486656316
10214031013
11aa8a6739
125b818659
133545a891
14205d58d7
1513bcb8e3
hexcc1daa5

214031013 has 32 divisors (see below), whose sum is σ = 335702016. Its totient is φ = 118767168.

The previous prime is 214030967. The next prime is 214031033. The reversal of 214031013 is 310130412.

214031013 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 214031013 - 29 = 214030501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214030983 and 214031001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214031033) 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, 113706 + ... + 115572.

It is an arithmetic number, because the mean of its divisors is an integer number (10490688).

Almost surely, 2214031013 is an apocalyptic number.

It is an amenable number.

214031013 is a deficient number, since it is larger than the sum of its proper divisors (121671003).

214031013 is a wasteful number, since it uses less digits than its factorization.

214031013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 214031013 is about 14629.7988024443. The cubic root of 214031013 is about 598.1712959539.

Adding to 214031013 its reverse (310130412), we get a palindrome (524161425).

It can be divided in two parts, 2140 and 31013, that added together give a triangular number (33153 = T257).

The spelling of 214031013 in words is "two hundred fourteen million, thirty-one thousand, thirteen".

Divisors: 1 3 7 21 53 103 159 309 371 721 1113 1867 2163 5459 5601 13069 16377 38213 39207 98951 114639 192301 296853 576903 692657 1346107 2077971 4038321 10191953 30575859 71343671 214031013