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100221100011 = 342794744273
BaseRepresentation
bin101110101010110100…
…1001001111111101011
3100120200120200101110000
41131111221021333223
53120223100200021
6114012501554043
710145400202644
oct1352551117753
9316616611400
10100221100011
113955a21a88a
121750ba15923
1395b2573a56
144bca5766cb
152918860b26
hex1755a49feb

100221100011 has 20 divisors (see below), whose sum is σ = 149721739992. Its totient is φ = 66810166848.

The previous prime is 100221100009. The next prime is 100221100027. The reversal of 100221100011 is 110001122001.

It is a happy number.

It is not a de Polignac number, because 100221100011 - 21 = 100221100009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100221099966 and 100221100002.

It is not an unprimeable number, because it can be changed into a prime (100221100061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2241571 + ... + 2285843.

Almost surely, 2100221100011 is an apocalyptic number.

100221100011 is a deficient number, since it is larger than the sum of its proper divisors (49500639981).

100221100011 is an equidigital number, since it uses as much as digits as its factorization.

100221100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72232 (or 72223 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100221100011 its reverse (110001122001), we get a palindrome (210222222012).

The spelling of 100221100011 in words is "one hundred billion, two hundred twenty-one million, one hundred thousand, eleven".

Divisors: 1 3 9 27 81 27947 44273 83841 132819 251523 398457 754569 1195371 2263707 3586113 1237297531 3711892593 11135677779 33407033337 100221100011