Search a number
-
+
3132313100213 = 114147211700339
BaseRepresentation
bin101101100101001100011…
…010001101111110110101
3102002110001021201012001012
4231211030122031332311
5402304434123201323
610354544220242005
7442205432023613
oct55451432157665
912073037635035
103132313100213
11aa84520a4280
124270913a0305
131994b69b558b
14ab8676806b3
155672a6b5678
hex2d94c68dfb5

3132313100213 has 32 divisors (see below), whose sum is σ = 3591836559360. Its totient is φ = 2706106032000.

The previous prime is 3132313100159. The next prime is 3132313100221. The reversal of 3132313100213 is 3120013132313.

It is a cyclic number.

It is not a de Polignac number, because 3132313100213 - 216 = 3132313034677 is a prime.

It is a super-2 number, since 2×31323131002132 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132313100713) 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, 4122398 + ... + 4822736.

It is an arithmetic number, because the mean of its divisors is an integer number (112244892480).

Almost surely, 23132313100213 is an apocalyptic number.

It is an amenable number.

3132313100213 is a deficient number, since it is larger than the sum of its proper divisors (459523459147).

3132313100213 is a wasteful number, since it uses less digits than its factorization.

3132313100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700649.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 3132313100213 its reverse (3120013132313), we get a palindrome (6252326232526).

The spelling of 3132313100213 in words is "three trillion, one hundred thirty-two billion, three hundred thirteen million, one hundred thousand, two hundred thirteen".

Divisors: 1 11 41 47 211 451 517 1927 2321 8651 9917 21197 95161 109087 406597 700339 4472567 7703729 28713899 32915933 147771529 315852889 362075263 1349553253 1625486819 6058632689 6945261863 14845085783 66644959579 76397880493 284755736383 3132313100213