Search a number
-
+
212311013131 = 7219228046201
BaseRepresentation
bin1100010110111010111…
…0001111011100001011
3202022000022121221122201
43011232232033130023
511434303104410011
6241311225501031
721224156556400
oct3055656173413
9668008557581
10212311013131
118204a039618
1235192641777
1317036a39529
14a3c113c2a7
1557c917bcc1
hex316eb8f70b

212311013131 has 12 divisors (see below), whose sum is σ = 259972670280. Its totient is φ = 172402927200.

The previous prime is 212311013119. The next prime is 212311013143. The reversal of 212311013131 is 131310113212.

It is an interprime number because it is at equal distance from previous prime (212311013119) and next prime (212311013143).

It is not a de Polignac number, because 212311013131 - 215 = 212310980363 is a prime.

It is a super-2 number, since 2×2123110131312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 212311013099 and 212311013108.

It is not an unprimeable number, because it can be changed into a prime (212311016131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114022170 + ... + 114024031.

It is an arithmetic number, because the mean of its divisors is an integer number (21664389190).

Almost surely, 2212311013131 is an apocalyptic number.

212311013131 is a deficient number, since it is larger than the sum of its proper divisors (47661657149).

212311013131 is a wasteful number, since it uses less digits than its factorization.

212311013131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228046234 (or 228046227 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 212311013131 its reverse (131310113212), we get a palindrome (343621126343).

The spelling of 212311013131 in words is "two hundred twelve billion, three hundred eleven million, thirteen thousand, one hundred thirty-one".

Divisors: 1 7 19 49 133 931 228046201 1596323407 4332877819 11174263849 30330144733 212311013131