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10111001111001 = 3272103912206471
BaseRepresentation
bin1001001100100010011010…
…1000010010100111011001
31022210121021001101221022200
42103020212220102213121
52311124312241023001
633300532500040413
72062332014253600
oct223104650224731
938717231357280
1010111001111001
11324906259669a
1211736b5993109
13584603b911ab
1426d53726ca37
15128024d8b086
hex93226a129d9

10111001111001 has 36 divisors (see below), whose sum is σ = 16990875854784. Its totient is φ = 5777156271600.

The previous prime is 10111001110963. The next prime is 10111001111023. The reversal of 10111001111001 is 10011110011101.

Adding to 10111001111001 its reverse (10011110011101), we get a palindrome (20122111122102).

It is not a de Polignac number, because 10111001111001 - 26 = 10111001110937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10111001111041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3479196 + ... + 5685666.

It is an arithmetic number, because the mean of its divisors is an integer number (471968773744).

Almost surely, 210111001111001 is an apocalyptic number.

It is an amenable number.

10111001111001 is a deficient number, since it is larger than the sum of its proper divisors (6879874743783).

10111001111001 is a wasteful number, since it uses less digits than its factorization.

10111001111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216882 (or 2216872 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

The spelling of 10111001111001 in words is "ten trillion, one hundred eleven billion, one million, one hundred eleven thousand, one".

Divisors: 1 3 7 9 21 49 63 147 441 10391 31173 72737 93519 218211 509159 654633 1527477 2206471 4582431 6619413 15445297 19858239 46335891 108117079 139007673 324351237 973053711 22927440161 68782320483 160492081127 206346961449 481476243381 1123444567889 1444428730143 3370333703667 10111001111001