Search a number
-
+
13003321122 = 2331121891113
BaseRepresentation
bin11000001110000111…
…01110111100100010
31020120020001011012000
430013003232330202
5203112322233442
65550150144430
7640143256131
oct140703567442
936506034160
1013003321122
115573043690
12262a952116
1312c2c9556c
148b4d91918
155118aad4c
hex3070eef22

13003321122 has 32 divisors (see below), whose sum is σ = 31523204160. Its totient is φ = 3940400160.

The previous prime is 13003321117. The next prime is 13003321127. The reversal of 13003321122 is 22112330031.

13003321122 is a `hidden beast` number, since 1 + 300 + 332 + 11 + 22 = 666.

13003321122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13003321117) and next prime (13003321127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13003321095 and 13003321104.

It is not an unprimeable number, because it can be changed into a prime (13003321127) 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 15 ways as a sum of consecutive naturals, for example, 10944963 + ... + 10946150.

It is an arithmetic number, because the mean of its divisors is an integer number (985100130).

Almost surely, 213003321122 is an apocalyptic number.

13003321122 is an abundant number, since it is smaller than the sum of its proper divisors (18519883038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13003321122 is a wasteful number, since it uses less digits than its factorization.

13003321122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21891135 (or 21891129 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13003321122 its reverse (22112330031), we get a palindrome (35115651153).

The spelling of 13003321122 in words is "thirteen billion, three million, three hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 21891113 43782226 65673339 131346678 197020017 240802243 394040034 481604486 591060051 722406729 1182120102 1444813458 2167220187 4334440374 6501660561 13003321122