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11345222031 = 311131910113781
BaseRepresentation
bin10101001000011101…
…00101100110001111
31002021200000222211120
422210032211212033
5141213334101111
65113435252023
7551100540033
oct124416454617
932250028746
1011345222031
1148a209a260
1222475aa013
1310ba5c9b40
14798a961c3
15466032406
hex2a43a598f

11345222031 has 64 divisors (see below), whose sum is σ = 18893468160. Its totient is φ = 5952960000.

The previous prime is 11345222023. The next prime is 11345222047. The reversal of 11345222031 is 13022254311.

11345222031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11345222031 - 23 = 11345222023 is a prime.

It is a super-2 number, since 2×113452220312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11345221992 and 11345222010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11345222011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 816361 + ... + 830141.

It is an arithmetic number, because the mean of its divisors is an integer number (295210440).

Almost surely, 211345222031 is an apocalyptic number.

11345222031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11345222031 is a deficient number, since it is larger than the sum of its proper divisors (7548246129).

11345222031 is a wasteful number, since it uses less digits than its factorization.

11345222031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13928.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 11345222031 its reverse (13022254311), we get a palindrome (24367476342).

The spelling of 11345222031 in words is "eleven billion, three hundred forty-five million, two hundred twenty-two thousand, thirty-one".

Divisors: 1 3 11 13 19 33 39 57 101 143 209 247 303 429 627 741 1111 1313 1919 2717 3333 3939 5757 8151 13781 14443 21109 24947 41343 43329 63327 74841 151591 179153 261839 274417 454773 537459 785517 823251 1391881 1970683 2880229 3403907 4175643 5912049 8640687 10211721 15310691 18094453 26445739 37442977 45932073 54283359 79337217 112328931 199038983 290903129 343794607 597116949 872709387 1031383821 3781740677 11345222031