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1012100111111 = 23311579041371
BaseRepresentation
bin11101011101001011101…
…11100001101100000111
310120202101222220202110102
432232211313201230013
5113040240112023421
62052541413514315
7133056532666625
oct16564567415407
93522358822412
101012100111111
11360258144521
1214419a34299b
13745960b25bb
1436db3484515
151b4d8bae60b
hexeba5de1b07

1012100111111 has 16 divisors (see below), whose sum is σ = 1097116243968. Its totient is φ = 930899455200.

The previous prime is 1012100111047. The next prime is 1012100111117. The reversal of 1012100111111 is 1111110012101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1012100111111 - 26 = 1012100111047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012100111092 and 1012100111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012100111117) 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 15 ways as a sum of consecutive naturals, for example, 4408745 + ... + 4632626.

It is an arithmetic number, because the mean of its divisors is an integer number (68569765248).

Almost surely, 21012100111111 is an apocalyptic number.

1012100111111 is a deficient number, since it is larger than the sum of its proper divisors (85016132857).

1012100111111 is a wasteful number, since it uses less digits than its factorization.

1012100111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9041582.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 1012100111111 its reverse (1111110012101), we get a palindrome (2123210123212).

It can be divided in two parts, 1012100 and 111111, that added together give a palindrome (1123211).

The spelling of 1012100111111 in words is "one trillion, twelve billion, one hundred million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 23 31 157 713 3611 4867 111941 9041371 207951533 280282501 1419495247 6446497523 32648390681 44004352657 1012100111111