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11051315020512 = 2532138933330431
BaseRepresentation
bin1010000011010001010110…
…1101001100001011100000
31110010111101010220210221200
42200310111231030023200
52422031043121124022
635300523134321200
72220300613516164
oct240642555141340
943114333823850
1011051315020512
113580922249378
1212a599b059200
1362219975a810
142a2c5a7b6ca4
1514270b709bac
hexa0d15b4c2e0

11051315020512 has 144 divisors (see below), whose sum is σ = 33848543409408. Its totient is φ = 3400013675520.

The previous prime is 11051315020507. The next prime is 11051315020549. The reversal of 11051315020512 is 21502051315011.

It is a happy number.

11051315020512 is a `hidden beast` number, since 1 + 1 + 0 + 51 + 31 + 50 + 20 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33279937 + ... + 33610367.

It is an arithmetic number, because the mean of its divisors is an integer number (235059329232).

Almost surely, 211051315020512 is an apocalyptic number.

11051315020512 is a gapful number since it is divisible by the number (12) 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 11051315020512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16924271704704).

11051315020512 is an abundant number, since it is smaller than the sum of its proper divisors (22797228388896).

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

11051315020512 is a wasteful number, since it uses less digits than its factorization.

11051315020512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339393 (or 339382 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 11051315020512 its reverse (21502051315011), we get a palindrome (32553366335523).

The spelling of 11051315020512 in words is "eleven trillion, fifty-one billion, three hundred fifteen million, twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 8933 17866 26799 35732 53598 71464 80397 107196 116129 142928 160794 214392 232258 285856 321588 330431 348387 428784 464516 643176 660862 696774 857568 929032 991293 1045161 1286352 1321724 1393548 1858064 1982586 2090322 2572704 2643448 2787096 2973879 3716128 3965172 4180644 4295603 5286896 5574192 5947758 7930344 8361288 8591206 10573792 11148384 11895516 12886809 15860688 16722576 17182412 23791032 25773618 31721376 33445152 34364824 38660427 47582064 51547236 68729648 77320854 95164128 103094472 137459296 154641708 206188944 309283416 412377888 618566832 1237133664 2951740123 5903480246 8855220369 11806960492 17710440738 23613920984 26565661107 35420881476 38372621599 47227841968 53131322214 70841762952 76745243198 94455683936 106262644428 115117864797 141683525904 153490486396 212525288856 230235729594 283367051808 306980972792 345353594391 425050577712 460471459188 613961945584 690707188782 850101155424 920942918376 1227923891168 1381414377564 1841885836752 2762828755128 3683771673504 5525657510256 11051315020512