Search a number
-
+
331303020031 = 1752137405783
BaseRepresentation
bin1001101001000110011…
…00101110010111111111
31011200011002002012120101
410310203030232113333
520412002033120111
6412110513301531
732635666130404
oct4644314562777
91150132065511
10331303020031
11118560a10595
12542608648a7
132531b148479
141206c6562ab
1589408c2bc1
hex4d2332e5ff

331303020031 has 8 divisors (see below), whose sum is σ = 351464746464. Its totient is φ = 311216106240.

The previous prime is 331303019941. The next prime is 331303020053. The reversal of 331303020031 is 130020303133.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331303020031 - 27 = 331303019903 is a prime.

It is a super-2 number, since 2×3313030200312 (a number of 24 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 = 331303019990 and 331303020008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331303020331) 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 7 ways as a sum of consecutive naturals, for example, 18694035 + ... + 18711748.

It is an arithmetic number, because the mean of its divisors is an integer number (43933093308).

Almost surely, 2331303020031 is an apocalyptic number.

331303020031 is a deficient number, since it is larger than the sum of its proper divisors (20161726433).

331303020031 is a wasteful number, since it uses less digits than its factorization.

331303020031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37406321.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 331303020031 its reverse (130020303133), we get a palindrome (461323323164).

The spelling of 331303020031 in words is "three hundred thirty-one billion, three hundred three million, twenty thousand, thirty-one".

Divisors: 1 17 521 8857 37405783 635898311 19488412943 331303020031