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10010010011111 = 1159101152710339
BaseRepresentation
bin1001000110101010001100…
…0101110100010111100111
31022102221120210211111121122
42101222203011310113213
52303001000030323421
633142311330204155
72052125244133205
oct221524305642747
938387523744548
1010010010011111
11320a248766580
12115801012365b
13577c2ac3c616
142686b673a075
151255b3b2c2ab
hex91aa31745e7

10010010011111 has 16 divisors (see below), whose sum is σ = 11215047369600. Its totient is φ = 8857199604000.

The previous prime is 10010010011093. The next prime is 10010010011159. The reversal of 10010010011111 is 11111001001001.

10010010011111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10010010011111 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 (10010010011161) 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, 76289621 + ... + 76420718.

It is an arithmetic number, because the mean of its divisors is an integer number (700940460600).

Almost surely, 210010010011111 is an apocalyptic number.

10010010011111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10010010011111 is a deficient number, since it is larger than the sum of its proper divisors (1205037358489).

10010010011111 is a wasteful number, since it uses less digits than its factorization.

10010010011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152710510.

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

Adding to 10010010011111 its reverse (11111001001001), we get a palindrome (21121011012112).

It can be divided in two parts, 1001001001 and 1111, that multiplied together give a palindrome (1112112112111).

The spelling of 10010010011111 in words is "ten trillion, ten billion, ten million, eleven thousand, one hundred eleven".

Divisors: 1 11 59 101 649 1111 5959 65549 152710339 1679813729 9009910001 15423744239 99109010011 169661186629 910000910101 10010010011111