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1100002113 = 34716711617
BaseRepresentation
bin100000110010000…
…1011001101000001
32211122211220020000
41001210023031001
54223100031423
6301052510213
736154602150
oct10144131501
92748756200
101100002113
11514a16961
1226847b369
13146b81932
14a613d597
1566886843
hex4190b341

1100002113 has 40 divisors (see below), whose sum is σ = 1889365632. Its totient is φ = 624754944.

The previous prime is 1100002097. The next prime is 1100002129. The reversal of 1100002113 is 3112000011.

It is an interprime number because it is at equal distance from previous prime (1100002097) and next prime (1100002129).

It is not a de Polignac number, because 1100002113 - 24 = 1100002097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100002095 and 1100002104.

It is not an unprimeable number, because it can be changed into a prime (1100002513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88881 + ... + 100497.

Almost surely, 21100002113 is an apocalyptic number.

It is an amenable number.

1100002113 is a deficient number, since it is larger than the sum of its proper divisors (789363519).

1100002113 is a wasteful number, since it uses less digits than its factorization.

1100002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11803 (or 11794 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1100002113 is about 33166.2797582123. The cubic root of 1100002113 is about 1032.2807764280.

Adding to 1100002113 its reverse (3112000011), we get a palindrome (4212002124).

The spelling of 1100002113 in words is "one billion, one hundred million, two thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 27 63 81 167 189 501 567 1169 1503 3507 4509 10521 11617 13527 31563 34851 81319 94689 104553 243957 313659 731871 940977 1940039 2195613 5820117 6586839 13580273 17460351 40740819 52381053 122222457 157143159 366667371 1100002113