Search a number
-
+
10331303331231 = 3210169112884511
BaseRepresentation
bin1001011001010111000110…
…1010100100010110011111
31100120122220021220021021200
42112111301222210112133
52323232002123044411
633550045113130543
72114261220242211
oct226256152442637
940518807807250
1010331303331231
1133235324373a3
1211aa3386b9a53
1359c31238251c
1427a0758265b1
1512db1a877e56
hex96571aa459f

10331303331231 has 12 divisors (see below), whose sum is σ = 14924461331520. Its totient is φ = 6886858186080.

The previous prime is 10331303331229. The next prime is 10331303331253. The reversal of 10331303331231 is 13213330313301.

10331303331231 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 303 + 331 + 23 + 1 = 666.

It is not a de Polignac number, because 10331303331231 - 21 = 10331303331229 is a prime.

It is a super-2 number, since 2×103313033312312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10331303331195 and 10331303331204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331303331281) 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 11 ways as a sum of consecutive naturals, for example, 56350735 + ... + 56533776.

It is an arithmetic number, because the mean of its divisors is an integer number (1243705110960).

Almost surely, 210331303331231 is an apocalyptic number.

10331303331231 is a deficient number, since it is larger than the sum of its proper divisors (4593158000289).

10331303331231 is a wasteful number, since it uses less digits than its factorization.

10331303331231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112894686 (or 112894683 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 10331303331231 its reverse (13213330313301), we get a palindrome (23544633644532).

The spelling of 10331303331231 in words is "ten trillion, three hundred thirty-one billion, three hundred three million, three hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 10169 30507 91521 112884511 338653533 1015960599 1147922592359 3443767777077 10331303331231