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13111101102 = 23112379710837
BaseRepresentation
bin11000011010111101…
…11000011010101110
31020211201211221112010
430031132320122232
5203322420213402
610005000222050
7642622343361
oct141536703256
936751757463
1013111101102
115618969350
12265aa6a926
13130c4012b8
148c540a0d8
1551b09aa6c
hex30d7b86ae

13111101102 has 64 divisors (see below), whose sum is σ = 29889990144. Its totient is φ = 3795200640.

The previous prime is 13111101077. The next prime is 13111101139. The reversal of 13111101102 is 20110111131.

It is a super-2 number, since 2×131111011022 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1204428 + ... + 1215264.

It is an arithmetic number, because the mean of its divisors is an integer number (467031096).

Almost surely, 213111101102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944995072).

13111101102 is an abundant number, since it is smaller than the sum of its proper divisors (16778889042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13111101102 is a wasteful number, since it uses less digits than its factorization.

13111101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11673.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 13111101102 its reverse (20110111131), we get a palindrome (33221212233).

The spelling of 13111101102 in words is "thirteen billion, one hundred eleven million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 797 1518 1594 2391 4782 8767 10837 17534 18331 21674 26301 32511 36662 52602 54993 65022 109986 119207 201641 238414 249251 357621 403282 498502 604923 715242 747753 1209846 1495506 2741761 5483522 8225283 8637089 16450566 17274178 25911267 51822534 95007979 190015958 198653047 285023937 397306094 570047874 595959141 1191918282 2185183517 4370367034 6555550551 13111101102