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13511112660 = 2234527730109
BaseRepresentation
bin11001001010101001…
…10011011111010100
31021212121112122020000
430211110303133110
5210132321101120
610112410011300
7655550364003
oct144524633724
937777478200
1013511112660
115803741a11
122750a16b30
131374247c26
149225b4c3a
15541262990
hex3255337d4

13511112660 has 120 divisors (see below), whose sum is σ = 42539287560. Its totient is φ = 3589837056.

The previous prime is 13511112649. The next prime is 13511112679. The reversal of 13511112660 is 6621111531.

It can be written as a sum of positive squares in 4 ways, for example, as 65318724 + 13445793936 = 8082^2 + 115956^2 .

It is a super-2 number, since 2×135111126602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 433686 + ... + 463794.

It is an arithmetic number, because the mean of its divisors is an integer number (354494063).

Almost surely, 213511112660 is an apocalyptic number.

13511112660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13511112660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21269643780).

13511112660 is an abundant number, since it is smaller than the sum of its proper divisors (29028174900).

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

13511112660 is a wasteful number, since it uses less digits than its factorization.

13511112660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30407 (or 30396 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 13511112660 in words is "thirteen billion, five hundred eleven million, one hundred twelve thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 277 324 405 540 554 810 831 1108 1385 1620 1662 2493 2770 3324 4155 4986 5540 7479 8310 9972 12465 14958 16620 22437 24930 29916 30109 37395 44874 49860 60218 74790 89748 90327 112185 120436 149580 150545 180654 224370 270981 301090 361308 448740 451635 541962 602180 812943 903270 1083924 1354905 1625886 1806540 2438829 2709810 3251772 4064715 4877658 5419620 8129430 8340193 9755316 12194145 16258860 16680386 24388290 25020579 33360772 41700965 48776580 50041158 75061737 83401930 100082316 125102895 150123474 166803860 225185211 250205790 300246948 375308685 450370422 500411580 675555633 750617370 900740844 1125926055 1351111266 1501234740 2251852110 2702222532 3377778165 4503704220 6755556330 13511112660