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13051200420 = 2232572506669
BaseRepresentation
bin11000010011110100…
…11000001110100100
31020200120010200020100
430021322120032210
5203212101403140
65555020304100
7641264241666
oct141172301644
936616120210
1013051200420
115598076055
1226429a2030
1312ccb8a5cb
148bb496536
15515bb7530
hex309e983a4

13051200420 has 36 divisors (see below), whose sum is σ = 39588641820. Its totient is φ = 3480320064.

The previous prime is 13051200359. The next prime is 13051200443. The reversal of 13051200420 is 2400215031.

13051200420 is a `hidden beast` number, since 130 + 512 + 0 + 0 + 4 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10394210304 + 2656990116 = 101952^2 + 51546^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 13051200393 and 13051200402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36253155 + ... + 36253514.

It is an arithmetic number, because the mean of its divisors is an integer number (1099684495).

Almost surely, 213051200420 is an apocalyptic number.

13051200420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13051200420 is an abundant number, since it is smaller than the sum of its proper divisors (26537441400).

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

13051200420 is a wasteful number, since it uses less digits than its factorization.

13051200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72506684 (or 72506679 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 13051200420 its reverse (2400215031), we get a palindrome (15451415451).

The spelling of 13051200420 in words is "thirteen billion, fifty-one million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 72506669 145013338 217520007 290026676 362533345 435040014 652560021 725066690 870080028 1087600035 1305120042 1450133380 2175200070 2610240084 3262800105 4350400140 6525600210 13051200420