Search a number
-
+
10311232332331 = 710147233087971
BaseRepresentation
bin1001011000001100010101…
…0101110010001000101011
31100111202002111202212212001
42112003011111302020223
52322414400434113311
633532525330031431
72112650643461350
oct226030525621053
940452074685761
1010311232332331
113315a729248a7
1211a6476a18577
1359a464079508
142790cdd3c627
1512d3437854c1
hex960c557222b

10311232332331 has 16 divisors (see below), whose sum is σ = 11903465058048. Its totient is φ = 8748836604000.

The previous prime is 10311232332287. The next prime is 10311232332367. The reversal of 10311232332331 is 13323323211301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10311232332331 - 29 = 10311232331819 is a prime.

It is a super-2 number, since 2×103112323323312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10311232332331.

It is not an unprimeable number, because it can be changed into a prime (10311232332391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1795176 + ... + 4883146.

It is an arithmetic number, because the mean of its divisors is an integer number (743966566128).

Almost surely, 210311232332331 is an apocalyptic number.

10311232332331 is a deficient number, since it is larger than the sum of its proper divisors (1592232725717).

10311232332331 is a wasteful number, since it uses less digits than its factorization.

10311232332331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092802.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 10311232332331 its reverse (13323323211301), we get a palindrome (23634555543632).

The spelling of 10311232332331 in words is "ten trillion, three hundred eleven billion, two hundred thirty-two million, three hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 7 101 707 4723 33061 477023 3087971 3339161 21615797 311885071 2183195497 14584487033 102091409231 1473033190333 10311232332331