Search a number
-
+
13440313100 = 22521913950891
BaseRepresentation
bin11001000010001101…
…01110011100001100
31021200200022122111002
430201012232130030
5210011210004400
610101400315432
7654030530204
oct144106563414
937620278432
1013440313100
115777785185
122731172b78
1313626894b6
14917025404
15539e29ed5
hex3211ae70c

13440313100 has 72 divisors (see below), whose sum is σ = 30921979200. Its totient is φ = 5056430400.

The previous prime is 13440313091. The next prime is 13440313109. The reversal of 13440313100 is 131304431.

It is an interprime number because it is at equal distance from previous prime (13440313091) and next prime (13440313109).

It is a super-2 number, since 2×134403131002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13440313109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238655 + ... + 289545.

Almost surely, 213440313100 is an apocalyptic number.

13440313100 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 13440313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15460989600).

13440313100 is an abundant number, since it is smaller than the sum of its proper divisors (17481666100).

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

13440313100 is a wasteful number, since it uses less digits than its factorization.

13440313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51063 (or 51056 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13440313100 its reverse (131304431), we get a palindrome (13571617531).

The spelling of 13440313100 in words is "thirteen billion, four hundred forty million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 139 190 278 380 475 556 695 950 1390 1900 2641 2780 3475 5282 6950 10564 13205 13900 26410 50891 52820 66025 101782 132050 203564 254455 264100 508910 966929 1017820 1272275 1933858 2544550 3867716 4834645 5089100 7073849 9669290 14147698 19338580 24173225 28295396 35369245 48346450 70738490 96692900 134403131 141476980 176846225 268806262 353692450 537612524 672015655 707384900 1344031310 2688062620 3360078275 6720156550 13440313100