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13312111030110 = 23256711149198013
BaseRepresentation
bin1100000110110111011110…
…1001100010111101011110
31202010121212220110122001100
43001231313221202331132
53221101200410430420
644151255511053530
72542524343522524
oct301556751427536
952117786418040
1013312111030110
1142726a86a3192
1215abb870712a6
13757432954a19
14340449808314
1518142a1e9190
hexc1b77a62f5e

13312111030110 has 96 divisors (see below), whose sum is σ = 35131406263200. Its totient is φ = 3496581437184.

The previous prime is 13312111030051. The next prime is 13312111030129. The reversal of 13312111030110 is 1103011121331.

13312111030110 is a `hidden beast` number, since 1 + 331 + 2 + 11 + 10 + 301 + 10 = 666.

It is a super-2 number, since 2×133121110301102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67129464 + ... + 67327476.

It is an arithmetic number, because the mean of its divisors is an integer number (365952148575).

Almost surely, 213312111030110 is an apocalyptic number.

13312111030110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13312111030110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17565703131600).

13312111030110 is an abundant number, since it is smaller than the sum of its proper divisors (21819295233090).

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

13312111030110 is a wasteful number, since it uses less digits than its factorization.

13312111030110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209242 (or 209239 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13312111030110 its reverse (1103011121331), we get a palindrome (14415122151441).

The spelling of 13312111030110 in words is "thirteen trillion, three hundred twelve billion, one hundred eleven million, thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 2010 3015 6030 11149 22298 33447 55745 66894 100341 111490 167235 198013 200682 334470 396026 501705 594039 746983 990065 1003410 1188078 1493966 1782117 1980130 2240949 2970195 3564234 3734915 4481898 5940390 6722847 7469830 8910585 11204745 13266871 13445694 17821170 22409490 26533742 33614235 39800613 66334355 67228470 79601226 119401839 132668710 199003065 238803678 398006130 597009195 1194018390 2207646937 4415293874 6622940811 11038234685 13245881622 19868822433 22076469370 33114704055 39737644866 66229408110 99344112165 147912344779 198688224330 295824689558 443737034337 739561723895 887474068674 1331211103011 1479123447790 2218685171685 2662422206022 4437370343370 6656055515055 13312111030110