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11221100001 = 323734996553
BaseRepresentation
bin10100111001101010…
…00110010111100001
31001222000110221102100
422130311012113201
5140440100200001
65053243041013
7545032530156
oct123465062741
931860427370
1011221100001
114839022571
122211b10169
13109a98b957
147863c622d
1545a1b5586
hex29cd465e1

11221100001 has 24 divisors (see below), whose sum is σ = 16694186600. Its totient is φ = 7257620736.

The previous prime is 11221099973. The next prime is 11221100017. The reversal of 11221100001 is 10000112211.

It is a happy number.

11221100001 is digitally balanced in base 2, 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 4 ways, for example, as 7735378401 + 3485721600 = 87951^2 + 59040^2 .

It is not a de Polignac number, because 11221100001 - 25 = 11221099969 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11221100081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 67941 + ... + 164493.

Almost surely, 211221100001 is an apocalyptic number.

It is an amenable number.

11221100001 is a deficient number, since it is larger than the sum of its proper divisors (5473086599).

11221100001 is a wasteful number, since it uses less digits than its factorization.

11221100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96945 (or 96942 counting only the distinct ones).

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

Adding to 11221100001 its reverse (10000112211), we get a palindrome (21221212212).

The spelling of 11221100001 in words is "eleven billion, two hundred twenty-one million, one hundred thousand, one".

Divisors: 1 3 9 37 111 333 349 1047 3141 12913 38739 96553 116217 289659 868977 3572461 10717383 32152149 33696997 101090991 303272973 1246788889 3740366667 11221100001