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11033341400 = 2352431127997
BaseRepresentation
bin10100100011010001…
…10110110111011000
31001110221011211001002
422101220312313120
5140044013411100
65022454444132
7540262566044
oct122150666730
931427154032
1011033341400
114752040774
12217b063648
13106aacc4a3
147694ad024
154489782d5
hex291a36dd8

11033341400 has 48 divisors (see below), whose sum is σ = 25712238240. Its totient is φ = 4403062400.

The previous prime is 11033341387. The next prime is 11033341447. The reversal of 11033341400 is 414333011.

11033341400 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 a congruent number.

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, 22202 + ... + 150198.

It is an arithmetic number, because the mean of its divisors is an integer number (535671630).

Almost surely, 211033341400 is an apocalyptic number.

11033341400 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 11033341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856119120).

11033341400 is an abundant number, since it is smaller than the sum of its proper divisors (14678896840).

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

11033341400 is a wasteful number, since it uses less digits than its factorization.

11033341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128444 (or 128435 counting only the distinct ones).

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

Adding to 11033341400 its reverse (414333011), we get a palindrome (11447674411).

The spelling of 11033341400 in words is "eleven billion, thirty-three million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 431 862 1724 2155 3448 4310 8620 10775 17240 21550 43100 86200 127997 255994 511988 639985 1023976 1279970 2559940 3199925 5119880 6399850 12799700 25599400 55166707 110333414 220666828 275833535 441333656 551667070 1103334140 1379167675 2206668280 2758335350 5516670700 11033341400