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1105100051 = 111932112467
BaseRepresentation
bin100000111011110…
…0111110100010011
32212000102220021112
41001313213310103
54230401200201
6301354043535
736246124016
oct10167476423
92760386245
101105100051
11517889030
1226a1195ab
13147c48173
14a6aa937d
15670420bb
hex41de7d13

1105100051 has 16 divisors (see below), whose sum is σ = 1218046848. Its totient is φ = 994291200.

The previous prime is 1105100047. The next prime is 1105100057. The reversal of 1105100051 is 1500015011.

It is a cyclic number.

It is not a de Polignac number, because 1105100051 - 22 = 1105100047 is a prime.

It is a super-2 number, since 2×11051000512 = 2442492245440405202, 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 = 1105099999 and 1105100035.

It is not an unprimeable number, because it can be changed into a prime (1105100057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446720 + ... + 449186.

It is an arithmetic number, because the mean of its divisors is an integer number (76127928).

Almost surely, 21105100051 is an apocalyptic number.

1105100051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1105100051 is a deficient number, since it is larger than the sum of its proper divisors (112946797).

1105100051 is a wasteful number, since it uses less digits than its factorization.

1105100051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882.

The product of its (nonzero) digits is 25, while the sum is 14.

The square root of 1105100051 is about 33243.0451523322. The cubic root of 1105100051 is about 1033.8730141598.

Adding to 1105100051 its reverse (1500015011), we get a palindrome (2605115062).

The spelling of 1105100051 in words is "one billion, one hundred five million, one hundred thousand, fifty-one".

Divisors: 1 11 193 211 2123 2321 2467 27137 40723 447953 476131 520537 5237441 5725907 100463641 1105100051