Search a number
-
+
10331113112331 = 3113146121906377
BaseRepresentation
bin1001011001010110011001…
…0100111100001100001011
31100120122102000222011000020
42112111212110330030023
52323231104424043311
633550014200111523
72114253420353154
oct226254624741413
940518360864006
1010331113112331
1133234450250a0
1211aa2a4a655a3
1359c2b1b4126b
1427a05846c92b
1512db08d01c06
hex9656653c30b

10331113112331 has 32 divisors (see below), whose sum is σ = 15545466832896. Its totient is φ = 6046159776000.

The previous prime is 10331113112329. The next prime is 10331113112389. The reversal of 10331113112331 is 13321131113301.

It is not a de Polignac number, because 10331113112331 - 21 = 10331113112329 is a prime.

It is a super-2 number, since 2×103311131123312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10331113111331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10481586 + ... + 11424791.

It is an arithmetic number, because the mean of its divisors is an integer number (485795838528).

Almost surely, 210331113112331 is an apocalyptic number.

10331113112331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10331113112331 is a deficient number, since it is larger than the sum of its proper divisors (5214353720565).

10331113112331 is a wasteful number, since it uses less digits than its factorization.

10331113112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21906883.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 10331113112331 its reverse (13321131113301), we get a palindrome (23652244225632).

The spelling of 10331113112331 in words is "ten trillion, three hundred thirty-one billion, one hundred thirteen million, one hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 11 31 33 93 341 461 1023 1383 5071 14291 15213 42873 157201 471603 21906377 65719131 240970147 679097687 722910441 2037293061 7470074557 10098839797 22410223671 30296519391 111087237767 313064033707 333261713301 939192101121 3443704370777 10331113112331