Search a number
-
+
331130123331 = 37247199240841
BaseRepresentation
bin1001101000110001110…
…01001011010001000011
31011122201000202010212220
410310120321023101003
520411123302421311
6412041415422123
732631466415400
oct4643071132103
91148630663786
10331130123331
1111848235a757
1254212984943
13252c1390827
14120536cb2a7
15893061e206
hex4d18e4b443

331130123331 has 48 divisors (see below), whose sum is σ = 527154969600. Its totient is φ = 184259940480.

The previous prime is 331130123323. The next prime is 331130123369. The reversal of 331130123331 is 133321031133.

It is not a de Polignac number, because 331130123331 - 23 = 331130123323 is a prime.

It is a super-2 number, since 2×3311301233312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331130123431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1254471 + ... + 1495311.

It is an arithmetic number, because the mean of its divisors is an integer number (10982395200).

Almost surely, 2331130123331 is an apocalyptic number.

331130123331 is a deficient number, since it is larger than the sum of its proper divisors (196024846269).

331130123331 is a wasteful number, since it uses less digits than its factorization.

331130123331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241104 (or 241097 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 331130123331 its reverse (133321031133), we get a palindrome (464451154464).

The spelling of 331130123331 in words is "three hundred thirty-one billion, one hundred thirty million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 21 47 49 141 147 199 329 597 987 1393 2303 4179 6909 9353 9751 28059 29253 65471 196413 240841 458297 722523 1374891 1685887 5057661 11319527 11801209 33958581 35403627 47927359 79236689 143782077 237710067 335491513 554656823 1006474539 1663970469 2252585873 2348440591 6757757619 7045321773 15768101111 47304303333 110376707777 331130123331