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10010001101111 = 1117106350356931
BaseRepresentation
bin1001000110101010001010…
…0011110101000100110111
31022102221120012001211101122
42101222202203311010313
52303000440240213421
633142310411214155
72052125105323424
oct221524243650467
938387505054348
1010010001101111
11320a243730340
12115800914735b
13577c2913cc2b
142686b549ad4b
151255b2e6c2ab
hex91aa28f5137

10010001101111 has 16 divisors (see below), whose sum is σ = 11573231539968. Its totient is φ = 8556649545600.

The previous prime is 10010001101081. The next prime is 10010001101131. The reversal of 10010001101111 is 11110110001001.

It is a cyclic number.

It is not a de Polignac number, because 10010001101111 - 210 = 10010001100087 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010001101131) 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, 24979685 + ... + 25377246.

It is an arithmetic number, because the mean of its divisors is an integer number (723326971248).

Almost surely, 210010001101111 is an apocalyptic number.

10010001101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10010001101111 is a deficient number, since it is larger than the sum of its proper divisors (1563230438857).

10010001101111 is a wasteful number, since it uses less digits than its factorization.

10010001101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50358022.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10010001101111 its reverse (11110110001001), we get a palindrome (21120111102112).

The spelling of 10010001101111 in words is "ten trillion, ten billion, one million, one hundred one thousand, one hundred eleven".

Divisors: 1 11 17 187 1063 11693 18071 198781 50356931 553926241 856067827 9416746097 53529417653 588823594183 910000100101 10010001101111