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11000000101111 = 77921632117321
BaseRepresentation
bin1010000000010010001100…
…0110010011101011110111
31102221120220220211211000021
42200010203012103223313
52420211000011213421
635221155201430011
72213503154064160
oct240044306235367
942846826754007
1011000000101111
11356108a31897a
121297a5993b307
1361a3ac45b098
142a058d5a0767
151412066c9341
hexa0123193af7

11000000101111 has 48 divisors (see below), whose sum is σ = 12873161296128. Its totient is φ = 9207004060800.

The previous prime is 11000000101093. The next prime is 11000000101217. The reversal of 11000000101111 is 11110100000011.

It is a happy number.

It is not a de Polignac number, because 11000000101111 - 237 = 10862561147639 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 11000000101094 and 11000000101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000000101511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1502523331 + ... + 1502530651.

It is an arithmetic number, because the mean of its divisors is an integer number (268190860336).

Almost surely, 211000000101111 is an apocalyptic number.

11000000101111 is a deficient number, since it is larger than the sum of its proper divisors (1873161195017).

11000000101111 is an equidigital number, since it uses as much as digits as its factorization.

11000000101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7860 (or 7781 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11000000101111 its reverse (11110100000011), we get a palindrome (22110100101122).

The spelling of 11000000101111 in words is "eleven trillion, one hundred one thousand, one hundred eleven".

Divisors: 1 7 79 163 211 553 1141 1477 6241 7321 12877 16669 34393 43687 51247 90139 116683 240751 578359 1017283 1193323 1316851 1544731 2717047 4048513 7120981 8353261 9217957 10813117 19019329 45690361 94272517 122033749 214646713 251791153 319832527 659907619 854236243 1502526991 1762538071 7447528843 9640666171 19891501087 52132701901 67484663197 139240507609 1571428585873 11000000101111