Search a number
-
+
220312331231 = 2959424330347
BaseRepresentation
bin1100110100101110100…
…0110110001111011111
3210001122221112000122112
43031023220312033133
512102144424044411
6245113213504235
721626354626406
oct3151350661737
9701587460575
10220312331231
1185485627303
12368461a207b
1317a10621595
14a93da6a63d
155ae6837b8b
hex334ba363df

220312331231 has 16 divisors (see below), whose sum is σ = 231834441600. Its totient is φ = 209053836768.

The previous prime is 220312331227. The next prime is 220312331237. The reversal of 220312331231 is 132133213022.

It is not a de Polignac number, because 220312331231 - 22 = 220312331227 is a prime.

It is a super-2 number, since 2×2203123312312 (a number of 23 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 = 220312331197 and 220312331206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220312331237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7244600 + ... + 7274946.

It is an arithmetic number, because the mean of its divisors is an integer number (14489652600).

Almost surely, 2220312331231 is an apocalyptic number.

220312331231 is a deficient number, since it is larger than the sum of its proper divisors (11522110369).

220312331231 is a wasteful number, since it uses less digits than its factorization.

220312331231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34678.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 220312331231 its reverse (132133213022), we get a palindrome (352445544253).

The spelling of 220312331231 in words is "two hundred twenty billion, three hundred twelve million, three hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 29 59 1711 4243 30347 123047 250337 880063 1790473 7259773 51923717 128762321 3734107309 7596976939 220312331231