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11102310013 = 232116613461
BaseRepresentation
bin10100101011011111…
…11100111001111101
31001122201221210012011
422111233330321331
5140214142410023
65033401011221
7542061035524
oct122557747175
931581853164
1011102310013
114787a67923
12219a183b11
13107c199712
147747034bb
1544ea4d50d
hex295bfce7d

11102310013 has 16 divisors (see below), whose sum is σ = 11660902272. Its totient is φ = 10550232000.

The previous prime is 11102310001. The next prime is 11102310019. The reversal of 11102310013 is 31001320111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11102310013 is a prime.

It is a super-2 number, since 2×111023100132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11102309975 and 11102310002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102310019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3206103 + ... + 3209563.

It is an arithmetic number, because the mean of its divisors is an integer number (728806392).

Almost surely, 211102310013 is an apocalyptic number.

It is an amenable number.

11102310013 is a deficient number, since it is larger than the sum of its proper divisors (558592259).

11102310013 is a wasteful number, since it uses less digits than its factorization.

11102310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11102310013 its reverse (31001320111), we get a palindrome (42103630124).

The spelling of 11102310013 in words is "eleven billion, one hundred two million, three hundred ten thousand, thirteen".

Divisors: 1 23 211 661 3461 4853 15203 79603 139471 730271 2287721 3207833 16796233 52617583 482709131 11102310013