Search a number
-
+
231012000213 = 317198317316603
BaseRepresentation
bin1101011100100101100…
…0110110000111010101
3211002021121211112011220
43113021120312013111
512241103033001323
6254043032520553
722455456413541
oct3271130660725
9732247745156
10231012000213
1189a76284a45
1238931550159
1318a27263567
14b276abca21
156020d500e3
hex35c96361d5

231012000213 has 64 divisors (see below), whose sum is σ = 349465052160. Its totient is φ = 134873054208.

The previous prime is 231012000209. The next prime is 231012000221. The reversal of 231012000213 is 312000210132.

It is not a de Polignac number, because 231012000213 - 22 = 231012000209 is a prime.

It is a super-2 number, since 2×2310120002132 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231012000192 and 231012000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231012000223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13905570 + ... + 13922172.

It is an arithmetic number, because the mean of its divisors is an integer number (5460391440).

Almost surely, 2231012000213 is an apocalyptic number.

It is an amenable number.

231012000213 is a deficient number, since it is larger than the sum of its proper divisors (118453051947).

231012000213 is a wasteful number, since it uses less digits than its factorization.

231012000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16898.

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

Adding to 231012000213 its reverse (312000210132), we get a palindrome (543012210345).

The spelling of 231012000213 in words is "two hundred thirty-one billion, twelve million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 17 19 51 57 83 173 249 323 519 969 1411 1577 2941 3287 4233 4731 8823 9861 14359 16603 26809 43077 49809 55879 80427 167637 244103 272821 282251 315457 732309 818463 846753 946371 1378049 2872319 4134147 4637957 5362769 8616957 13913871 16088307 23426833 26182931 48829423 54574061 70280499 78548793 146488269 163722183 238402477 445109827 715207431 927759037 1335329481 2783277111 4052842109 4529647063 12158526327 13588941189 77004000071 231012000213