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101111220011 = 10713912495443
BaseRepresentation
bin101111000101010110…
…0101100011100101011
3100122222121121011112102
41132022230230130223
53124033433020021
6114241100204015
710206426121664
oct1361254543453
9318877534472
10101111220011
113997671414a
1217719b3960b
1396c4abb389
144c7288036b
15296ba8a00b
hex178ab2c72b

101111220011 has 16 divisors (see below), whose sum is σ = 102891600000. Its totient is φ = 99347758848.

The previous prime is 101111219971. The next prime is 101111220013. The reversal of 101111220011 is 110022111101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101111220011 is a prime.

It is a super-2 number, since 2×1011112200112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111219974 and 101111220001.

It is not an unprimeable number, because it can be changed into a prime (101111220013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18573656 + ... + 18579098.

It is an arithmetic number, because the mean of its divisors is an integer number (6430725000).

Almost surely, 2101111220011 is an apocalyptic number.

101111220011 is a deficient number, since it is larger than the sum of its proper divisors (1780379989).

101111220011 is a wasteful number, since it uses less digits than its factorization.

101111220011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6938.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101111220011 its reverse (110022111101), we get a palindrome (211133331112).

The spelling of 101111220011 in words is "one hundred one billion, one hundred eleven million, two hundred twenty thousand, eleven".

Divisors: 1 107 139 1249 5443 14873 133643 173611 582401 756577 6798307 18576377 80953739 727418849 944964673 101111220011