Search a number
-
+
11033044400 = 245273940373
BaseRepresentation
bin10100100011001111…
…01110010110110000
31001110220121201122002
422101213232112300
5140043424410100
65022444233132
7540260221130
oct122147562660
931426551562
1011033044400
114751958614
12217ab3b7a8
13106aa27251
14769432ac0
1544891a2d5
hex2919ee5b0

11033044400 has 60 divisors (see below), whose sum is σ = 30293595312. Its totient is φ = 3782757120.

The previous prime is 11033044339. The next prime is 11033044417. The reversal of 11033044400 is 444033011.

It is a happy number.

11033044400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1967387 + ... + 1972986.

Almost surely, 211033044400 is an apocalyptic number.

11033044400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11033044400 is an abundant number, since it is smaller than the sum of its proper divisors (19260550912).

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

11033044400 is a wasteful number, since it uses less digits than its factorization.

11033044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940398 (or 3940387 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11033044400 its reverse (444033011), we get a palindrome (11477077411).

The spelling of 11033044400 in words is "eleven billion, thirty-three million, forty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 3940373 7880746 15761492 19701865 27582611 31522984 39403730 55165222 63045968 78807460 98509325 110330444 137913055 157614920 197018650 220660888 275826110 315229840 394037300 441321776 551652220 689565275 788074600 1103304440 1379130550 1576149200 2206608880 2758261100 5516522200 11033044400