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13121167158 = 234112669379
BaseRepresentation
bin11000011100001010…
…10001111100110110
31020212102210100120000
430032011101330312
5203333004322113
610010000052130
7643104036441
oct141605217466
936772710500
1013121167158
115623614100
122662304046
131311516c48
148c68aa658
1551bdd8373
hex30e151f36

13121167158 has 60 divisors (see below), whose sum is σ = 32316997020. Its totient is φ = 3976105320.

The previous prime is 13121167151. The next prime is 13121167207. The reversal of 13121167158 is 85176112131.

It is a happy number.

13121167158 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121167151) 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 29 ways as a sum of consecutive naturals, for example, 315088 + ... + 354291.

It is an arithmetic number, because the mean of its divisors is an integer number (538616617).

Almost surely, 213121167158 is an apocalyptic number.

13121167158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13121167158 is an abundant number, since it is smaller than the sum of its proper divisors (19195829862).

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

13121167158 is a wasteful number, since it uses less digits than its factorization.

13121167158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669415 (or 669395 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

Adding to 13121167158 its reverse (85176112131), we get a palindrome (98297279289).

The spelling of 13121167158 in words is "thirteen billion, one hundred twenty-one million, one hundred sixty-seven thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1782 2178 3267 6534 9801 19602 669379 1338758 2008137 4016274 6024411 7363169 12048822 14726338 18073233 22089507 36146466 44179014 54219699 66268521 80994859 108439398 132537042 161989718 198805563 242984577 397611126 485969154 596416689 728953731 1192833378 1457907462 2186861193 4373722386 6560583579 13121167158