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13210011331110 = 23351112773483019
BaseRepresentation
bin1100000000111011001000…
…0010000110101000100110
31201202212100101212112021000
43000032302002012220212
53212413100400043420
644032332340134130
72532251252432556
oct300166202065046
951685311775230
1013210011331110
114233375015160
121594232097346
1374a911131449
14339521979166
1517d9519a6690
hexc03b2086a26

13210011331110 has 128 divisors (see below), whose sum is σ = 38459228198400. Its totient is φ = 3199918296960.

The previous prime is 13210011331067. The next prime is 13210011331129. The reversal of 13210011331110 is 1113311001231.

13210011331110 is a `hidden beast` number, since 1 + 3 + 210 + 0 + 11 + 331 + 110 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2051181 + ... + 5534199.

It is an arithmetic number, because the mean of its divisors is an integer number (300462720300).

Almost surely, 213210011331110 is an apocalyptic number.

13210011331110 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 13210011331110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19229614099200).

13210011331110 is an abundant number, since it is smaller than the sum of its proper divisors (25249216867290).

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

13210011331110 is a wasteful number, since it uses less digits than its factorization.

13210011331110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484323 (or 3484317 counting only the distinct ones).

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

Adding to 13210011331110 its reverse (1113311001231), we get a palindrome (14323322332341).

The spelling of 13210011331110 in words is "thirteen trillion, two hundred ten billion, eleven million, three hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1277 1485 2554 2970 3831 6385 7662 11493 12770 14047 19155 22986 28094 34479 38310 42141 57465 68958 70235 84282 114930 126423 140470 172395 210705 252846 344790 379269 421410 632115 758538 1264230 1896345 3483019 3792690 6966038 10449057 17415095 20898114 31347171 34830190 38313209 52245285 62694342 76626418 94041513 104490570 114939627 156735855 188083026 191566045 229879254 313471710 344818881 383132090 470207565 574698135 689637762 940415130 1034456643 1149396270 1724094405 2068913286 3448188810 4447815263 5172283215 8895630526 10344566430 13343445789 22239076315 26686891578 40030337367 44478152630 48925967893 66717228945 80060674734 97851935786 120091012101 133434457890 146777903679 200151686835 240182024202 244629839465 293555807358 400303373670 440333711037 489259678930 600455060505 733889518395 880667422074 1200910121010 1321001133111 1467779036790 2201668555185 2642002266222 4403337110370 6605005665555 13210011331110