Search a number
-
+
11303044000 = 2553414
BaseRepresentation
bin10101000011011011…
…01100001110100000
31002011201200010110021
422201231230032200
5141122034402000
65105331243224
7550046201023
oct124155541640
932151603407
1011303044000
114880301286
122235449514
1310b194cb21
147932371ba
154624a011a
hex2a1b6c3a0

11303044000 has 120 divisors (see below), whose sum is σ = 28465868340. Its totient is φ = 4410944000.

The previous prime is 11303043971. The next prime is 11303044009. The reversal of 11303044000 is 44030311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 10 ways, for example, as 11005688464 + 297355536 = 104908^2 + 17244^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11303044009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 275683980 + ... + 275684020.

Almost surely, 211303044000 is an apocalyptic number.

11303044000 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 11303044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14232934170).

11303044000 is an abundant number, since it is smaller than the sum of its proper divisors (17162824340).

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

11303044000 is an frugal number, since it uses more digits than its factorization.

11303044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11303044000 its reverse (44030311), we get a palindrome (11347074311).

The spelling of 11303044000 in words is "eleven billion, three hundred three million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 656 800 820 1000 1025 1312 1640 1681 2000 2050 3280 3362 4000 4100 5125 6560 6724 8200 8405 10250 13448 16400 16810 20500 26896 32800 33620 41000 42025 53792 67240 68921 82000 84050 134480 137842 164000 168100 210125 268960 275684 336200 344605 420250 551368 672400 689210 840500 1102736 1344800 1378420 1681000 1723025 2205472 2756840 2825761 3362000 3446050 5513680 5651522 6724000 6892100 8615125 11027360 11303044 13784200 14128805 17230250 22606088 27568400 28257610 34460500 45212176 55136800 56515220 68921000 70644025 90424352 113030440 137842000 141288050 226060880 275684000 282576100 353220125 452121760 565152200 706440250 1130304400 1412880500 2260608800 2825761000 5651522000 11303044000