Search a number
-
+
11143441200 = 2435236725303
BaseRepresentation
bin10100110000011001…
…10110101100110000
31001202121100110120110
422120030312230300
5140310210104300
65041430341320
7543100454523
oct123014665460
931677313513
1011143441200
1147a9200341
1221ababa840
13108786b0b8
14779d6cbba
15453475550
hex298336b30

11143441200 has 120 divisors (see below), whose sum is σ = 35794835968. Its totient is φ = 2963370240.

The previous prime is 11143441193. The next prime is 11143441207. The reversal of 11143441200 is 214434111.

It is an interprime number because it is at equal distance from previous prime (11143441193) and next prime (11143441207).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (11143441207) 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, 427749 + ... + 453051.

Almost surely, 211143441200 is an apocalyptic number.

11143441200 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 11143441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17897417984).

11143441200 is an abundant number, since it is smaller than the sum of its proper divisors (24651394768).

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

11143441200 is a wasteful number, since it uses less digits than its factorization.

11143441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25691 (or 25680 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11143441200 its reverse (214434111), we get a palindrome (11357875311).

The spelling of 11143441200 in words is "eleven billion, one hundred forty-three million, four hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 367 400 600 734 1101 1200 1468 1835 2202 2936 3670 4404 5505 5872 7340 8808 9175 11010 14680 17616 18350 22020 25303 27525 29360 36700 44040 50606 55050 73400 75909 88080 101212 110100 126515 146800 151818 202424 220200 253030 303636 379545 404848 440400 506060 607272 632575 759090 1012120 1214544 1265150 1518180 1897725 2024240 2530300 3036360 3795450 5060600 6072720 7590900 9286201 10121200 15181800 18572402 27858603 30363600 37144804 46431005 55717206 74289608 92862010 111434412 139293015 148579216 185724020 222868824 232155025 278586030 371448040 445737648 464310050 557172060 696465075 742896080 928620100 1114344120 1392930150 1857240200 2228688240 2785860300 3714480400 5571720600 11143441200