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22011311101 = 13972179953
BaseRepresentation
bin10100011111111110…
…011111001111111101
32002211000011110101111
4110133332133033331
5330034343423401
614040054442021
71406314025443
oct243776371775
962730143344
1022011311101
1193758a18aa
124323663311
1320ca2b2550
1410cb486b93
1588c614e51
hex51ff9f3fd

22011311101 has 12 divisors (see below), whose sum is σ = 23951517492. Its totient is φ = 20108556288.

The previous prime is 22011311099. The next prime is 22011311107. The reversal of 22011311101 is 10111311022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 110271001 + 21901040100 = 10501^2 + 147990^2 .

It is not a de Polignac number, because 22011311101 - 21 = 22011311099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011311107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32341 + ... + 212293.

It is an arithmetic number, because the mean of its divisors is an integer number (1995959791).

Almost surely, 222011311101 is an apocalyptic number.

It is an amenable number.

22011311101 is a deficient number, since it is larger than the sum of its proper divisors (1940206391).

22011311101 is an equidigital number, since it uses as much as digits as its factorization.

22011311101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180160 (or 180063 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 22011311101 its reverse (10111311022), we get a palindrome (32122622123).

The spelling of 22011311101 in words is "twenty-two billion, eleven million, three hundred eleven thousand, one hundred one".

Divisors: 1 13 97 1261 9409 122317 179953 2339389 17455441 226920733 1693177777 22011311101