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12021022013 = 7111323677793
BaseRepresentation
bin10110011001000001…
…00011110100111101
31011000202200012010112
423030200203310331
5144104340201023
65304500115405
7603615000260
oct131440436475
934022605115
1012021022013
11510960a840
1223b5995b65
1311976151a0
14820730cd7
154a5524478
hex2cc823d3d

12021022013 has 64 divisors (see below), whose sum is σ = 17095421952. Its totient is φ = 8146068480.

The previous prime is 12021022009. The next prime is 12021022043. The reversal of 12021022013 is 31022012021.

It is a happy number.

12021022013 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 12021022013 - 22 = 12021022009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021022003) 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, 1538645 + ... + 1546437.

It is an arithmetic number, because the mean of its divisors is an integer number (267115968).

Almost surely, 212021022013 is an apocalyptic number.

12021022013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12021022013 is a deficient number, since it is larger than the sum of its proper divisors (5074399939).

12021022013 is a wasteful number, since it uses less digits than its factorization.

12021022013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7914.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12021022013 its reverse (31022012021), we get a palindrome (43043034034).

The spelling of 12021022013 in words is "twelve billion, twenty-one million, twenty-two thousand, thirteen".

Divisors: 1 7 11 13 23 67 77 91 143 161 253 299 469 737 871 1001 1541 1771 2093 3289 5159 6097 7793 9581 10787 16951 20033 23023 54551 67067 85723 101309 118657 140231 179239 220363 522131 600061 709163 1114399 1254673 1542541 1971629 2330107 3654917 5743441 6787703 7800793 12009013 13801403 16310749 25631177 40204087 47513921 74664733 84063091 132099143 156117169 179418239 522653131 924694001 1092820183 1717288859 12021022013