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13122420030 = 2325145804667
BaseRepresentation
bin11000011100010100…
…00011110100111110
31020212112011000011200
430032022003310332
5203333314420110
610010043000330
7643120505226
oct141612036476
936775130150
1013122420030
11562429a435
1226628090a6
1313118652a5
148c6b15086
1551c0846c0
hex30e283d3e

13122420030 has 24 divisors (see below), whose sum is σ = 34118292312. Its totient is φ = 3499311984.

The previous prime is 13122420029. The next prime is 13122420049. The reversal of 13122420030 is 3002422131.

13122420030 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 13122419985 and 13122420012.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 72902244 + ... + 72902423.

It is an arithmetic number, because the mean of its divisors is an integer number (1421595513).

Almost surely, 213122420030 is an apocalyptic number.

13122420030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13122420030 is an abundant number, since it is smaller than the sum of its proper divisors (20995872282).

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

13122420030 is a wasteful number, since it uses less digits than its factorization.

13122420030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145804680 (or 145804677 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13122420030 its reverse (3002422131), we get a palindrome (16124842161).

The spelling of 13122420030 in words is "thirteen billion, one hundred twenty-two million, four hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 145804667 291609334 437414001 729023335 874828002 1312242003 1458046670 2187070005 2624484006 4374140010 6561210015 13122420030