Search a number
-
+
1100011122020 = 225149369131249
BaseRepresentation
bin10000000000011101110…
…001011010110101100100
310220011022122222211021102
4100000131301122311210
5121010310321401040
62201201011535232
7142321205156156
oct20003561326544
93804278884242
101100011122020
1139456a668148
121592335ba518
137c9661a0755
143b352b60ad6
151d93194b515
hex1001dc5ad64

1100011122020 has 24 divisors (see below), whose sum is σ = 2325526875000. Its totient is φ = 437051397632.

The previous prime is 1100011121999. The next prime is 1100011122037. The reversal of 1100011122020 is 202211100011.

It can be written as a sum of positive squares in 4 ways, for example, as 21192371776 + 1078818750244 = 145576^2 + 1038662^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1100011121992 and 1100011122010.

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 7 ways as a sum of consecutive naturals, for example, 184562645 + ... + 184568604.

It is an arithmetic number, because the mean of its divisors is an integer number (96896953125).

Almost surely, 21100011122020 is an apocalyptic number.

1100011122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100011122020 is an abundant number, since it is smaller than the sum of its proper divisors (1225515752980).

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

1100011122020 is a wasteful number, since it uses less digits than its factorization.

1100011122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369131407 (or 369131405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1100011122020 its reverse (202211100011), we get a palindrome (1302222222031).

The spelling of 1100011122020 in words is "one trillion, one hundred billion, eleven million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 369131249 738262498 1476524996 1845656245 3691312490 7382624980 55000556101 110001112202 220002224404 275002780505 550005561010 1100011122020