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13310103202000 = 2453111294146751
BaseRepresentation
bin1100000110101111111111…
…1110010010100011010000
31202010102200222101101200021
43001223333332102203100
53221033042404431000
644150324344233224
72542423523335333
oct301537776224320
952112628341607
1013310103202000
11427186829a210
1215ab70676b814
137571a2999557
143402d8cb261a
1518135dcdc11a
hexc1afff928d0

13310103202000 has 160 divisors (see below), whose sum is σ = 35113096332288. Its totient is φ = 4839560000000.

The previous prime is 13310103201961. The next prime is 13310103202007. The reversal of 13310103202000 is 20230101331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310103202007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284678625 + ... + 284725375.

Almost surely, 213310103202000 is an apocalyptic number.

13310103202000 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 13310103202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556548166144).

13310103202000 is an abundant number, since it is smaller than the sum of its proper divisors (21802993130288).

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

13310103202000 is a wasteful number, since it uses less digits than its factorization.

13310103202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59726 (or 59710 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13310103202000 its reverse (20230101331), we get a palindrome (13330333303331).

The spelling of 13310103202000 in words is "thirteen trillion, three hundred ten billion, one hundred three million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 12941 22000 25882 46751 51764 64705 93502 103528 129410 142351 187004 207056 233755 258820 284702 323525 374008 467510 514261 517640 569404 647050 711755 748016 935020 1028522 1035280 1138808 1168775 1294100 1423510 1617625 1870040 2057044 2277616 2337550 2571305 2588200 2847020 3235250 3558775 3740080 4114088 4675100 5142610 5176400 5694040 5843875 6470500 7117550 8228176 9350200 10285220 11388080 11687750 12856525 12941000 14235100 17793875 18700400 20570440 23375500 25713050 25882000 28470200 35587750 41140880 46751000 51426100 56940400 64282625 71175500 93502000 102852200 128565250 142351000 205704400 257130500 284702000 514261000 605004691 1028522000 1210009382 2420018764 3025023455 4840037528 6050046910 6655051601 9680075056 12100093820 13310103202 15125117275 24200187640 26620206404 30250234550 33275258005 48400375280 53240412808 60500469100 66550516010 75625586375 106480825616 121000938200 133101032020 151251172750 166376290025 242001876400 266202064040 302502345500 332752580050 532404128080 605004691000 665505160100 831881450125 1210009382000 1331010320200 1663762900250 2662020640400 3327525800500 6655051601000 13310103202000