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13052110133340 = 223559001298369
BaseRepresentation
bin1011110111101110111001…
…1000110101100001011100
31201012202202222220120200000
42331323232120311201130
53202321210143231330
643432020121334300
72514661312414365
oct275735630654134
951182688816600
1013052110133340
1141824069a21a3
121569705337390
13738a68953445
14331a22abcb6c
151797ae3e6560
hexbdeee63585c

13052110133340 has 144 divisors (see below), whose sum is σ = 41062448001120. Its totient is φ = 3480164352000.

The previous prime is 13052110133339. The next prime is 13052110133357. The reversal of 13052110133340 is 4333101125031.

13052110133340 is a `hidden beast` number, since 1 + 3 + 0 + 521 + 1 + 0 + 133 + 3 + 4 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 43595676 + ... + 43894044.

Almost surely, 213052110133340 is an apocalyptic number.

13052110133340 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 13052110133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20531224000560).

13052110133340 is an abundant number, since it is smaller than the sum of its proper divisors (28010337867780).

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

13052110133340 is a wasteful number, since it uses less digits than its factorization.

13052110133340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307394 (or 307380 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 13052110133340 its reverse (4333101125031), we get a palindrome (17385211258371).

The spelling of 13052110133340 in words is "thirteen trillion, fifty-two billion, one hundred ten million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 9001 18002 27003 36004 45005 54006 81009 90010 108012 135015 162018 180020 243027 270030 298369 324036 405045 486054 540060 596738 729081 810090 895107 972108 1193476 1215135 1458162 1491845 1620180 1790214 2187243 2430270 2685321 2916324 2983690 3580428 3645405 4374486 4475535 4860540 5370642 5967380 7290810 8055963 8748972 8951070 10741284 10936215 13426605 14581620 16111926 17902140 21872430 24167889 26853210 32223852 40279815 43744860 48335778 53706420 72503667 80559630 96671556 120839445 145007334 161119260 241678890 290014668 362518335 483357780 725036670 1450073340 2685619369 5371238738 8056858107 10742477476 13428096845 16113716214 24170574321 26856193690 32227432428 40284290535 48341148642 53712387380 72511722963 80568581070 96682297284 120852871605 145023445926 161137162140 217535168889 241705743210 290046891852 362558614815 435070337778 483411486420 652605506667 725117229630 870140675556 1087675844445 1305211013334 1450234459260 2175351688890 2610422026668 3263027533335 4350703377780 6526055066670 13052110133340