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13310501103320 = 23561137155925541
BaseRepresentation
bin1100000110110001011110…
…1100001010011011011000
31202010110201201002212200012
43001230113230022123120
53221034401240301240
644150432040501052
72542436424416441
oct301542754123330
952113651085605
1013310501103320
114271a51961383
1215ab7b7a7a788
13757237254815
14340335a8c2c8
15181383bd8b65
hexc1b17b0a6d8

13310501103320 has 128 divisors (see below), whose sum is σ = 30682644220800. Its totient is φ = 5195154739200.

The previous prime is 13310501103301. The next prime is 13310501103377. The reversal of 13310501103320 is 2330110501331.

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, 521129750 + ... + 521155290.

It is an arithmetic number, because the mean of its divisors is an integer number (239708157975).

Almost surely, 213310501103320 is an apocalyptic number.

13310501103320 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 13310501103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15341322110400).

13310501103320 is an abundant number, since it is smaller than the sum of its proper divisors (17372143117480).

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

13310501103320 is a wasteful number, since it uses less digits than its factorization.

13310501103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27309 (or 27305 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

Adding to 13310501103320 its reverse (2330110501331), we get a palindrome (15640611604651).

The spelling of 13310501103320 in words is "thirteen trillion, three hundred ten billion, five hundred one million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 137 244 274 305 488 548 610 685 1096 1220 1370 1559 2440 2740 3118 5480 6236 7795 8357 12472 15590 16714 25541 31180 33428 41785 51082 62360 66856 83570 95099 102164 127705 167140 190198 204328 213583 255410 334280 380396 427166 475495 510820 760792 854332 950990 1021640 1067915 1558001 1708664 1901980 2135830 3116002 3499117 3803960 4271660 6232004 6998234 7790005 8543320 12464008 13028563 13996468 15580010 17495585 26057126 27992936 31160020 34991170 39818419 52114252 62320040 65142815 69982340 79636838 104228504 130285630 139964680 159273676 199092095 213446137 260571260 318547352 398184190 426892274 521142520 796368380 853784548 1067230685 1592736760 1707569096 2134461370 2428923559 4268922740 4857847118 5455123403 8537845480 9715694236 10910246806 12144617795 19431388472 21820493612 24289235590 27275617015 43640987224 48578471180 54551234030 97156942360 109102468060 218204936120 332762527583 665525055166 1331050110332 1663812637915 2662100220664 3327625275830 6655250551660 13310501103320