Search a number
-
+
2331330014031 = 329314391969057
BaseRepresentation
bin100001111011001110000…
…110001110101101001111
322020212120101201111100020
4201323032012032231033
5301144030440422111
64542555341033223
7330301350104244
oct41731606165517
98225511644306
102331330014031
11819791019367
123179b1855813
1313bac7171505
1480ba09315cb
154099ae33906
hex21ece18eb4f

2331330014031 has 32 divisors (see below), whose sum is σ = 3326920396800. Its totient is φ = 1448910167040.

The previous prime is 2331330014003. The next prime is 2331330014113. The reversal of 2331330014031 is 1304100331332.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-2331330014031 is a prime.

It is a super-2 number, since 2×23313300140312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2331330013992 and 2331330014010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331330014131) 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 31 ways as a sum of consecutive naturals, for example, 199455 + ... + 2168511.

It is an arithmetic number, because the mean of its divisors is an integer number (103966262400).

Almost surely, 22331330014031 is an apocalyptic number.

2331330014031 is a deficient number, since it is larger than the sum of its proper divisors (995590382769).

2331330014031 is a wasteful number, since it uses less digits than its factorization.

2331330014031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969559.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2331330014031 its reverse (1304100331332), we get a palindrome (3635430345363).

The spelling of 2331330014031 in words is "two trillion, three hundred thirty-one billion, three hundred thirty million, fourteen thousand, thirty-one".

Divisors: 1 3 29 31 87 93 439 899 1317 2697 12731 13609 38193 40827 394661 1183983 1969057 5907171 57102653 61040767 171307959 183122301 864416023 1770182243 2593248069 5310546729 25068064667 26796896713 75204194001 80390690139 777110004677 2331330014031