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13301042420 = 22517113346201
BaseRepresentation
bin11000110001100110…
…11100110011110100
31021022222020222000202
430120303130303310
5204220031324140
610035503300032
7650416665221
oct143063346364
937288228022
1013301042420
115706101046
1226b25aa618
13133c876103
14902730948
1552cab9915
hex318cdccf4

13301042420 has 48 divisors (see below), whose sum is σ = 29837073168. Its totient is φ = 4963123200.

The previous prime is 13301042413. The next prime is 13301042431. The reversal of 13301042420 is 2424010331.

It can be written as a sum of positive squares in 8 ways, for example, as 8797156 + 13292245264 = 2966^2 + 115292^2 .

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 = 13301042392 and 13301042401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134681 + ... + 211520.

It is an arithmetic number, because the mean of its divisors is an integer number (621605691).

Almost surely, 213301042420 is an apocalyptic number.

13301042420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301042420 is an abundant number, since it is smaller than the sum of its proper divisors (16536030748).

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

13301042420 is a wasteful number, since it uses less digits than its factorization.

13301042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346340 (or 346338 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13301042420 its reverse (2424010331), we get a palindrome (15725052751).

The spelling of 13301042420 in words is "thirteen billion, three hundred one million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 340 452 565 1130 1921 2260 3842 7684 9605 19210 38420 346201 692402 1384804 1731005 3462010 5885417 6924020 11770834 23541668 29427085 39120713 58854170 78241426 117708340 156482852 195603565 391207130 665052121 782414260 1330104242 2660208484 3325260605 6650521210 13301042420