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100101111111111 = 31110130033336667
BaseRepresentation
bin10110110000101010011011…
…001010110101110111000111
3111010102120110112201011102210
4112300222123022311313013
5101110024033421023421
6552521452100434503
730041031564331605
oct2660523312656707
9433376415634383
10100101111111111
1129993708656520
12b2883236a8a33
1343b1656bc6886
141aa0cc3664875
15b88cd6337576
hex5b0a9b2b5dc7

100101111111111 has 16 divisors (see below), whose sum is σ = 147043216326528. Its totient is φ = 60066673332000.

The previous prime is 100101111111107. The next prime is 100101111111137. The reversal of 100101111111111 is 111111111101001.

It is not a de Polignac number, because 100101111111111 - 22 = 100101111111107 is a prime.

100101111111111 is a modest number, since divided by 11111111 gives 1001011 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101111111151) 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, 15016665001 + ... + 15016671666.

It is an arithmetic number, because the mean of its divisors is an integer number (9190201020408).

Almost surely, 2100101111111111 is an apocalyptic number.

100101111111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101111111111 is a deficient number, since it is larger than the sum of its proper divisors (46942105215417).

100101111111111 is a wasteful number, since it uses less digits than its factorization.

100101111111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30033336782.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 100101111111111 its reverse (111111111101001), we get a palindrome (211212222212112).

The spelling of 100101111111111 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 3 11 33 101 303 1111 3333 30033336667 90100010001 330366703337 991100110011 3033367003367 9100101010101 33367037037037 100101111111111