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13010122020 = 2235730976481
BaseRepresentation
bin11000001110111011…
…01011010100100100
31020120200211200021010
430013131223110210
5203121042401040
65550552022220
7640255132620
oct140735532444
936520750233
1013010122020
115576969265
122631091970
1312c4506c6c
148b5c42180
155122a0e80
hex30776b524

13010122020 has 48 divisors (see below), whose sum is σ = 41632391808. Its totient is φ = 2973742080.

The previous prime is 13010122019. The next prime is 13010122033. The reversal of 13010122020 is 2022101031.

13010122020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13010121987 and 13010122005.

It is an unprimeable number.

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, 15487821 + ... + 15488660.

It is an arithmetic number, because the mean of its divisors is an integer number (867341496).

Almost surely, 213010122020 is an apocalyptic number.

13010122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13010122020 is an abundant number, since it is smaller than the sum of its proper divisors (28622269788).

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

13010122020 is a wasteful number, since it uses less digits than its factorization.

13010122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30976500 (or 30976498 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13010122020 its reverse (2022101031), we get a palindrome (15032223051).

The spelling of 13010122020 in words is "thirteen billion, ten million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 30976481 61952962 92929443 123905924 154882405 185858886 216835367 309764810 371717772 433670734 464647215 619529620 650506101 867341468 929294430 1084176835 1301012202 1858588860 2168353670 2602024404 3252530505 4336707340 6505061010 13010122020