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20011313130012 = 22331913109312031
BaseRepresentation
bin1001000110011001111110…
…01101011110101000011100
32121212001200211010001112000
410203030333031132220130
510110331132130130022
6110321023105442300
74133524665031131
oct443147715365034
977761624101460
1020011313130012
116415828628066
1222b23b0340390
13b2209c0555c9
144d27a495c588
1524a8181796ac
hex12333f35ea1c

20011313130012 has 96 divisors (see below), whose sum is σ = 52169753395200. Its totient is φ = 6633358401600.

The previous prime is 20011313129999. The next prime is 20011313130043. The reversal of 20011313130012 is 21003131311002.

20011313130012 is a `hidden beast` number, since 200 + 1 + 131 + 31 + 300 + 1 + 2 = 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 31 ways as a sum of consecutive naturals, for example, 63976437 + ... + 64288467.

It is an arithmetic number, because the mean of its divisors is an integer number (543434931200).

Almost surely, 220011313130012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011313130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26084876697600).

20011313130012 is an abundant number, since it is smaller than the sum of its proper divisors (32158440265188).

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

20011313130012 is a wasteful number, since it uses less digits than its factorization.

20011313130012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315344 (or 315336 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20011313130012 its reverse (21003131311002), we get a palindrome (41014444441014).

The spelling of 20011313130012 in words is "twenty trillion, eleven billion, three hundred thirteen million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 191 382 573 764 1146 1719 2292 3109 3438 5157 6218 6876 9327 10314 12436 18654 20628 27981 37308 55962 83943 111924 167886 312031 335772 593819 624062 936093 1187638 1248124 1781457 1872186 2375276 2808279 3562914 3744372 5344371 5616558 7125828 8424837 10688742 11233116 16033113 16849674 21377484 32066226 33699348 59597921 64132452 119195842 178793763 238391684 357587526 536381289 715175052 970104379 1072762578 1609143867 1940208758 2145525156 2910313137 3218287734 3880417516 5820626274 6436575468 8730939411 11641252548 17461878822 26192818233 34923757644 52385636466 104771272932 185289936389 370579872778 555869809167 741159745556 1111739618334 1667609427501 2223479236668 3335218855002 5002828282503 6670437710004 10005656565006 20011313130012