Search a number
-
+
213212120113231 = 3173767178548829
BaseRepresentation
bin110000011110101001010000…
…101011100110000001001111
31000221220212202020112211001221
4300132221100223212001033
5210421231410222110411
62033244143520144211
762624032045312261
oct6036512053460117
91027825666484057
10213212120113231
1161a32830414748
121bab5b2b768067
1391c7a802645a5
143a91743693b31
15199b20ac45071
hexc1ea50ae604f

213212120113231 has 8 divisors (see below), whose sum is σ = 213941493277920. Its totient is φ = 212483104054368.

The previous prime is 213212120113229. The next prime is 213212120113313. The reversal of 213212120113231 is 132311021212312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213212120113231 - 21 = 213212120113229 is a prime.

It is a super-2 number, since 2×2132121201132312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213212120113196 and 213212120113205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213212120213231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88080276 + ... + 90468553.

It is an arithmetic number, because the mean of its divisors is an integer number (26742686659740).

Almost surely, 2213212120113231 is an apocalyptic number.

213212120113231 is a deficient number, since it is larger than the sum of its proper divisors (729373164689).

213212120113231 is a wasteful number, since it uses less digits than its factorization.

213212120113231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178552913.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 213212120113231 its reverse (132311021212312), we get a palindrome (345523141325543).

The spelling of 213212120113231 in words is "two hundred thirteen trillion, two hundred twelve billion, one hundred twenty million, one hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 317 3767 1194139 178548829 56599978793 672593438843 213212120113231