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13004014021110 = 2335729237256231
BaseRepresentation
bin1011110100111011101110…
…1000101110100111110110
31201001011122002120221002000
42331032323220232213312
53201024210042133420
643353543411000130
72511336406253010
oct275167350564766
951034562527060
1013004014021110
114163a759a0212
121560321b99046
13734372478a38
1432d57d1891b0
151783e6c7b690
hexbd3bba2e9f6

13004014021110 has 128 divisors (see below), whose sum is σ = 40997876889600. Its totient is φ = 2869851358080.

The previous prime is 13004014021109. The next prime is 13004014021111. The reversal of 13004014021110 is 1112041040031.

13004014021110 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 401 + 40 + 211 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (13004014021109) and next prime (13004014021111).

It is a super-2 number, since 2×130040140211102 (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 not an unprimeable number, because it can be changed into a prime (13004014021111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118573306 + ... + 118682925.

It is an arithmetic number, because the mean of its divisors is an integer number (320295913200).

Almost surely, 213004014021110 is an apocalyptic number.

13004014021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13004014021110 is an abundant number, since it is smaller than the sum of its proper divisors (27993862868490).

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

13004014021110 is a wasteful number, since it uses less digits than its factorization.

13004014021110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237256283 (or 237256277 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13004014021110 its reverse (1112041040031), we get a palindrome (14116055061141).

The spelling of 13004014021110 in words is "thirteen trillion, four billion, fourteen million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 29 30 35 42 45 54 58 63 70 87 90 105 126 135 145 174 189 203 210 261 270 290 315 378 406 435 522 609 630 783 870 945 1015 1218 1305 1566 1827 1890 2030 2610 3045 3654 3915 5481 6090 7830 9135 10962 18270 27405 54810 237256231 474512462 711768693 1186281155 1423537386 1660793617 2135306079 2372562310 3321587234 3558843465 4270612158 4982380851 6405918237 6880430699 7117686930 8303968085 9964761702 10676530395 12811836474 13760861398 14947142553 16607936170 20641292097 21353060790 24911904255 29894285106 32029591185 34402153495 41282584194 44841427659 48163014893 49823808510 61923876291 64059182370 68804306990 74735712765 89682855318 96326029786 103206460485 123847752582 144489044679 149471425530 185771628873 206412920970 224207138295 240815074465 288978089358 309619381455 371543257746 433467134037 448414276590 481630148930 619238762910 722445223395 866934268074 928858144365 1300401402111 1444890446790 1857716288730 2167335670185 2600802804222 4334671340370 6502007010555 13004014021110