Search a number
-
+
213301102131 = 32132140237411
BaseRepresentation
bin1100011010100110111…
…1001000011000110011
3202101120022122200102200
43012221233020120303
511443320040232011
6241553354514243
721260541311265
oct3065157103063
9671508580380
10213301102131
1182507a03097
123540a135983
1317163bb6500
14a476829b35
155836051856
hex31a9bc8633

213301102131 has 18 divisors (see below), whose sum is σ = 333624803148. Its totient is φ = 131262215760.

The previous prime is 213301102123. The next prime is 213301102139. The reversal of 213301102131 is 131201103312.

213301102131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213301102123) and next prime (213301102139).

It is not a de Polignac number, because 213301102131 - 23 = 213301102123 is a prime.

It is a super-2 number, since 2×2133011021312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213301102139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 70117185 + ... + 70120226.

It is an arithmetic number, because the mean of its divisors is an integer number (18534711286).

Almost surely, 2213301102131 is an apocalyptic number.

213301102131 is a deficient number, since it is larger than the sum of its proper divisors (120323701017).

213301102131 is a wasteful number, since it uses less digits than its factorization.

213301102131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140237443 (or 140237427 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213301102131 its reverse (131201103312), we get a palindrome (344502205443).

The spelling of 213301102131 in words is "two hundred thirteen billion, three hundred one million, one hundred two thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 140237411 420712233 1262136699 1823086343 5469259029 16407777087 23700122459 71100367377 213301102131