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221131300100 = 22522211313001
BaseRepresentation
bin1100110111110001110…
…0111101110100000100
3210010210000112221201212
43031330130331310010
512110334103100400
6245330351110552
721655561015634
oct3157434756404
9703700487655
10221131300100
1185865943787
1236a34512458
1317b111b6449
14a9ba7326c4
155b436aa335
hex337c73dd04

221131300100 has 18 divisors (see below), whose sum is σ = 479854921434. Its totient is φ = 88452520000.

The previous prime is 221131300079. The next prime is 221131300127. The reversal of 221131300100 is 1003131122.

221131300100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 53242793536 + 167888506564 = 230744^2 + 409742^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1105656401 + ... + 1105656600.

Almost surely, 2221131300100 is an apocalyptic number.

221131300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221131300100 is an abundant number, since it is smaller than the sum of its proper divisors (258723621334).

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

221131300100 is a wasteful number, since it uses less digits than its factorization.

221131300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211313015 (or 2211313008 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 221131300100 its reverse (1003131122), we get a palindrome (222134431222).

The spelling of 221131300100 in words is "two hundred twenty-one billion, one hundred thirty-one million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2211313001 4422626002 8845252004 11056565005 22113130010 44226260020 55282825025 110565650050 221131300100