Search a number
-
+
13010101000 = 2353131000777
BaseRepresentation
bin11000001110111011…
…00110001100001000
31020120200210121102121
430013131212030020
5203121041213000
65550551341024
7640255014421
oct140735461410
936520717377
1013010101000
115576954496
122631081774
1312c44ca520
148b5c38648
15512299b1a
hex307766308

13010101000 has 64 divisors (see below), whose sum is σ = 32785487280. Its totient is φ = 4803724800.

The previous prime is 13010100997. The next prime is 13010101001. The reversal of 13010101000 is 10101031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 417221476 + 12592879524 = 20426^2 + 112218^2 .

It is not an unprimeable number, because it can be changed into a prime (13010101001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487389 + ... + 513388.

Almost surely, 213010101000 is an apocalyptic number.

13010101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13010101000 is an abundant number, since it is smaller than the sum of its proper divisors (19775386280).

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

13010101000 is a wasteful number, since it uses less digits than its factorization.

13010101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000811 (or 1000797 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 13010101000 its reverse (10101031), we get a palindrome (13020202031).

The spelling of 13010101000 in words is "thirteen billion, ten million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 1000777 2001554 4003108 5003885 8006216 10007770 13010101 20015540 25019425 26020202 40031080 50038850 52040404 65050505 100077700 104080808 125097125 130101010 200155400 250194250 260202020 325252525 500388500 520404040 650505050 1000777000 1301010100 1626262625 2602020200 3252525250 6505050500 13010101000