Search a number
-
+
346221431022231 = 3240195932787759
BaseRepresentation
bin100111010111000101111010…
…1011010001110001010010111
31200101212110000210221120021100
41032232023311122032022113
5330334442442320202411
63224203532450521143
7132632446546635342
oct11656136532161227
91611773023846240
10346221431022231
11a0353758924366
12329b80488961b3
1311b25705346c7b
14616d2c7173459
152a06032175456
hex13ae2f568e297

346221431022231 has 12 divisors (see below), whose sum is σ = 501344748833760. Its totient is φ = 230238690619200.

The previous prime is 346221431022197. The next prime is 346221431022241. The reversal of 346221431022231 is 132220134122643.

346221431022231 is a `hidden beast` number, since 3 + 4 + 622 + 1 + 4 + 3 + 1 + 0 + 2 + 2 + 23 + 1 = 666.

It is not a de Polignac number, because 346221431022231 - 230 = 346220357280407 is a prime.

It is a super-2 number, since 2×3462214310222312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346221431022241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47966390271 + ... + 47966397488.

It is an arithmetic number, because the mean of its divisors is an integer number (41778729069480).

Almost surely, 2346221431022231 is an apocalyptic number.

346221431022231 is a deficient number, since it is larger than the sum of its proper divisors (155123317811529).

346221431022231 is a wasteful number, since it uses less digits than its factorization.

346221431022231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95932788166 (or 95932788163 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 346221431022231 its reverse (132220134122643), we get a palindrome (478441565144874).

The spelling of 346221431022231 in words is "three hundred forty-six trillion, two hundred twenty-one billion, four hundred thirty-one million, twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 401 1203 3609 95932787759 287798363277 863395089831 38469047891359 115407143674077 346221431022231