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100010011111111 = 23317313714025247
BaseRepresentation
bin10110101111010101100101…
…001011111010111011000111
3111010002212022121222122222201
4112233111211023322323013
5101102031000321023421
6552411544223335331
730031325210162143
oct2657254513727307
9433085277878881
10100010011111111
112995900a020122
12b27273a451547
1343a5b9922392a
141a9a720628223
15b86753624b91
hex5af5652faec7

100010011111111 has 32 divisors (see below), whose sum is σ = 109997439418368. Its totient is φ = 90641237829120.

The previous prime is 100010011111103. The next prime is 100010011111117. The reversal of 100010011111111 is 111111110010001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100010011111111 - 23 = 100010011111103 is a prime.

100010011111111 is a modest number, since divided by 11111111 gives 1000100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010011111117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118090 + ... + 14143336.

It is an arithmetic number, because the mean of its divisors is an integer number (3437419981824).

Almost surely, 2100010011111111 is an apocalyptic number.

100010011111111 is a deficient number, since it is larger than the sum of its proper divisors (9987428307257).

100010011111111 is a wasteful number, since it uses less digits than its factorization.

100010011111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14025511.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100010011111111 its reverse (111111110010001), we get a palindrome (211121121121112).

The spelling of 100010011111111 in words is "one hundred trillion, ten billion, eleven million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 23 31 73 137 713 1679 2263 3151 4247 10001 52049 97681 230023 310031 7130713 14025247 322580681 434782657 1023843031 1921458839 10000001111 23548389713 31739133961 44193553297 59565224009 140266495247 730000081103 1370000152207 3226129390681 4348261352657 100010011111111