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13130044420 = 2253176927539
BaseRepresentation
bin11000011101001110…
…01001010000000100
31020220001111100212111
430032213021100010
5203342242410140
610010514230404
7643242351613
oct141647112004
936801440774
1013130044420
115628627789
122665285404
13131330476c
148c7b3b87a
1551ca8d7ea
hex30e9c9404

13130044420 has 48 divisors (see below), whose sum is σ = 28500595200. Its totient is φ = 5075804160.

The previous prime is 13130044393. The next prime is 13130044439. The reversal of 13130044420 is 2444003131.

It is a junction number, because it is equal to n+sod(n) for n = 13130044391 and 13130044400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463011 + ... + 490549.

It is an arithmetic number, because the mean of its divisors is an integer number (593762400).

Almost surely, 213130044420 is an apocalyptic number.

13130044420 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 13130044420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14250297600).

13130044420 is an abundant number, since it is smaller than the sum of its proper divisors (15370550780).

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

13130044420 is a wasteful number, since it uses less digits than its factorization.

13130044420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28348 (or 28346 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13130044420 its reverse (2444003131), we get a palindrome (15574047551).

The spelling of 13130044420 in words is "thirteen billion, one hundred thirty million, forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 769 1538 3076 3845 7690 15380 23839 27539 47678 55078 95356 110156 119195 137695 238390 275390 476780 550780 853709 1707418 3414836 4268545 8537090 17074180 21177491 42354982 84709964 105887455 211774910 423549820 656502221 1313004442 2626008884 3282511105 6565022210 13130044420