Search a number
-
+
231301223221 = 2926797101419
BaseRepresentation
bin1101011101101010100…
…0001001001100110101
3211010000210001120120011
43113122220021030311
512242201103120341
6254131443540221
722465600646365
oct3273250111465
9733023046504
10231301223221
118a104568522
12389b238a671
1318a72159c33
14b2a32889a5
15603b430b81
hex35daa09335

231301223221 has 48 divisors (see below), whose sum is σ = 248658096960. Its totient is φ = 215053977600.

The previous prime is 231301223213. The next prime is 231301223227. The reversal of 231301223221 is 122322103132.

231301223221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 231301223221 - 23 = 231301223213 is a prime.

It is a super-2 number, since 2×2313012232212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231301223192 and 231301223201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231301223227) 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 47 ways as a sum of consecutive naturals, for example, 552031350 + ... + 552031768.

It is an arithmetic number, because the mean of its divisors is an integer number (5180377020).

Almost surely, 2231301223221 is an apocalyptic number.

It is an amenable number.

231301223221 is a deficient number, since it is larger than the sum of its proper divisors (17356873739).

231301223221 is a wasteful number, since it uses less digits than its factorization.

231301223221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 231301223221 its reverse (122322103132), we get a palindrome (353623326353).

The spelling of 231301223221 in words is "two hundred thirty-one billion, three hundred one million, two hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 29 67 97 101 419 841 1943 2813 2929 6499 6767 9797 12151 28073 40643 42319 56347 81577 84941 188471 196243 284113 352379 656399 814117 1178647 1227251 2723081 2835373 4104943 5465659 5691047 8239277 19035571 23609393 34180763 35590279 78969349 82225817 119043347 275031181 552031559 2290111121 2384548693 3452257063 7975904249 231301223221