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1100201101220 = 2251312097349801
BaseRepresentation
bin10000000000101001000…
…110001000011110100100
310220011210220110202202002
4100000221012020132210
5121011202440214340
62201231515504432
7142326003026324
oct20005106103644
93804726422662
101100201101220
11394657926351
12159287158118
137c996659890
143b370095284
151d943476715
hex100291887a4

1100201101220 has 48 divisors (see below), whose sum is σ = 2488359902448. Its totient is φ = 406193356800.

The previous prime is 1100201101217. The next prime is 1100201101231. The reversal of 1100201101220 is 221011020011.

It can be written as a sum of positive squares in 8 ways, for example, as 314113169764 + 786087931456 = 560458^2 + 886616^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2970320 + ... + 3320120.

It is an arithmetic number, because the mean of its divisors is an integer number (51840831301).

Almost surely, 21100201101220 is an apocalyptic number.

1100201101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100201101220 is an abundant number, since it is smaller than the sum of its proper divisors (1388158801228).

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

1100201101220 is a wasteful number, since it uses less digits than its factorization.

1100201101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361920 (or 361918 counting only the distinct ones).

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

Adding to 1100201101220 its reverse (221011020011), we get a palindrome (1321212121231).

The spelling of 1100201101220 in words is "one trillion, one hundred billion, two hundred one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 12097 24194 48388 60485 120970 157261 241940 314522 349801 629044 699602 786305 1399204 1572610 1749005 3145220 3498010 4547413 6996020 9094826 18189652 22737065 45474130 90948260 4231542697 8463085394 16926170788 21157713485 42315426970 55010055061 84630853940 110020110122 220040220244 275050275305 550100550610 1100201101220