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13124210420 = 22529139162791
BaseRepresentation
bin11000011100100001…
…11000111011110100
31020212122111222010102
430032100320323310
5203334244213140
610010145213232
7643141643066
oct141620707364
936778458112
1013124210420
1156253025a2
122663331218
1313120411a9
148c705d736
1551c2d9e15
hex30e438ef4

13124210420 has 48 divisors (see below), whose sum is σ = 28716508800. Its totient is φ = 5032164480.

The previous prime is 13124210419. The next prime is 13124210431. The reversal of 13124210420 is 2401242131.

13124210420 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 13124210392 and 13124210401.

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 15 ways as a sum of consecutive naturals, for example, 776 + ... + 162015.

It is an arithmetic number, because the mean of its divisors is an integer number (598260600).

Almost surely, 213124210420 is an apocalyptic number.

13124210420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13124210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14358254400).

13124210420 is an abundant number, since it is smaller than the sum of its proper divisors (15592298380).

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

13124210420 is a wasteful number, since it uses less digits than its factorization.

13124210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162968 (or 162966 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13124210420 its reverse (2401242131), we get a palindrome (15525452551).

The spelling of 13124210420 in words is "thirteen billion, one hundred twenty-four million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 139 145 278 290 556 580 695 1390 2780 4031 8062 16124 20155 40310 80620 162791 325582 651164 813955 1627910 3255820 4720939 9441878 18883756 22627949 23604695 45255898 47209390 90511796 94418780 113139745 226279490 452558980 656210521 1312421042 2624842084 3281052605 6562105210 13124210420