Search a number
-
+
331220123101 = 7217641620317
BaseRepresentation
bin1001101000111100100…
…00011111110111011101
31011122221022002121100201
410310132100133313131
520411314322414401
6412054352423501
732633641410400
oct4643620376735
91148838077321
10331220123101
1111851914092a
1254238b47b91
1325306c1262a
1412061637d37
15893849ab01
hex4d1e41fddd

331220123101 has 24 divisors (see below), whose sum is σ = 408598504056. Its totient is φ = 266785505280.

The previous prime is 331220123093. The next prime is 331220123111. The reversal of 331220123101 is 101321022133.

It can be written as a sum of positive squares in 4 ways, for example, as 82168222500 + 249051900601 = 286650^2 + 499051^2 .

It is not a de Polignac number, because 331220123101 - 23 = 331220123093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331220123111) 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 23 ways as a sum of consecutive naturals, for example, 223795 + ... + 844111.

It is an arithmetic number, because the mean of its divisors is an integer number (17024937669).

Almost surely, 2331220123101 is an apocalyptic number.

It is an amenable number.

331220123101 is a deficient number, since it is larger than the sum of its proper divisors (77378380955).

331220123101 is a wasteful number, since it uses less digits than its factorization.

331220123101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620989 (or 620982 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 331220123101 its reverse (101321022133), we get a palindrome (432541145234).

The spelling of 331220123101 in words is "three hundred thirty-one billion, two hundred twenty million, one hundred twenty-three thousand, one hundred one".

Divisors: 1 7 17 49 119 641 833 4487 10897 31409 76279 533953 620317 4342219 10545389 30395533 73817723 397623197 516724061 2783362379 6759594349 19483536653 47317160443 331220123101