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1105111319 = 13613793677
BaseRepresentation
bin100000111011110…
…1010100100010111
32212000110110201212
41001313222210113
54230402030234
6301354212035
736246201614
oct10167524427
92760413655
101105111319
11517896544
1226a12401b
13147c50330
14a6aad50b
15670455ce
hex41dea917

1105111319 has 16 divisors (see below), whose sum is σ = 1213151520. Its totient is φ = 1000460160.

The previous prime is 1105111313. The next prime is 1105111349. The reversal of 1105111319 is 9131115011.

It is a cyclic number.

It is not a de Polignac number, because 1105111319 - 228 = 836675863 is a prime.

It is a super-2 number, since 2×11051113192 = 2442542054763839522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1105111294 and 1105111303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105111313) 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, 298709 + ... + 302385.

It is an arithmetic number, because the mean of its divisors is an integer number (75821970).

Almost surely, 21105111319 is an apocalyptic number.

1105111319 is a deficient number, since it is larger than the sum of its proper divisors (108040201).

1105111319 is a wasteful number, since it uses less digits than its factorization.

1105111319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130.

The product of its (nonzero) digits is 135, while the sum is 23.

The square root of 1105111319 is about 33243.2146309589. The cubic root of 1105111319 is about 1033.8765280623.

The spelling of 1105111319 in words is "one billion, one hundred five million, one hundred eleven thousand, three hundred nineteen".

Divisors: 1 13 61 379 793 3677 4927 23119 47801 224297 300547 1393583 2915861 18116579 85008563 1105111319