Search a number
-
+
212331013020231 = 37191917273832417
BaseRepresentation
bin110000010001110100101010…
…100110110001101001000111
31000211210122110101002211222220
4300101310222212301221013
5210312312403313121411
62031331304253223423
762503260304511250
oct6021645246615107
91024718411084886
10212331013020231
1161723093434586
121b99320a791b73
1391629619baac1
143a60c39529b27
15198333c19bb06
hexc11d2a9b1a47

212331013020231 has 64 divisors (see below), whose sum is σ = 342835237355520. Its totient is φ = 114186988016640.

The previous prime is 212331013020173. The next prime is 212331013020241. The reversal of 212331013020231 is 132020310133212.

It is not a de Polignac number, because 212331013020231 - 221 = 212331010923079 is a prime.

It is a super-2 number, since 2×2123310130202312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212331013020241) 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, 53487735 + ... + 57320151.

It is an arithmetic number, because the mean of its divisors is an integer number (5356800583680).

Almost surely, 2212331013020231 is an apocalyptic number.

212331013020231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212331013020231 is a deficient number, since it is larger than the sum of its proper divisors (130504224335289).

212331013020231 is a wasteful number, since it uses less digits than its factorization.

212331013020231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833364.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 212331013020231 its reverse (132020310133212), we get a palindrome (344351323153443).

The spelling of 212331013020231 in words is "two hundred twelve trillion, three hundred thirty-one billion, thirteen million, twenty thousand, two hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 191 399 573 727 1337 2181 3629 4011 5089 10887 13813 15267 25403 41439 76209 96691 138857 290073 416571 971999 2638283 2915997 3832417 7914849 11497251 18467981 26826919 55403943 72815923 80480757 218447769 509711461 731991647 1529134383 2195974941 2786167159 5123941529 8358501477 13907841293 15371824587 19503170113 41723523879 52937176021 58509510339 97354889051 158811528063 292064667153 370560232147 532157927369 1111680696441 1596473782107 3725105491583 10111000620011 11175316474749 30333001860033 70777004340077 212331013020231