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13220003110000 = 245411279117209
BaseRepresentation
bin1100000001100000010110…
…0101101101110001110000
31201210211010202011111010211
43000120011211231301300
53213044031244010000
644041104030433504
72533054000234351
oct300300545556160
951724122144124
1013220003110000
114237632124565
121596160362894
1374b84420094b
14339bcc99bd28
1517dd38c8d7ba
hexc060596dc70

13220003110000 has 100 divisors (see below), whose sum is σ = 32010060376800. Its totient is φ = 5287487296000.

The previous prime is 13220003109959. The next prime is 13220003110021. The reversal of 13220003110000 is 1130002231.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112731396 + ... + 112848604.

It is an arithmetic number, because the mean of its divisors is an integer number (320100603768).

Almost surely, 213220003110000 is an apocalyptic number.

13220003110000 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 13220003110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16005030188400).

13220003110000 is an abundant number, since it is smaller than the sum of its proper divisors (18790057266800).

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

13220003110000 is a wasteful number, since it uses less digits than its factorization.

13220003110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128516 (or 128495 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13220003110000 its reverse (1130002231), we get a palindrome (13221133112231).

The spelling of 13220003110000 in words is "thirteen trillion, two hundred twenty billion, three million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 11279 22558 45116 56395 90232 112790 117209 180464 225580 234418 281975 451160 468836 563950 586045 902320 937672 1127900 1172090 1409875 1875344 2255800 2344180 2819750 2930225 4511600 4688360 5639500 5860450 7049375 9376720 11279000 11720900 14098750 14651125 22558000 23441800 28197500 29302250 46883600 56395000 58604500 73255625 112790000 117209000 146511250 234418000 293022500 586045000 1172090000 1322000311 2644000622 5288001244 6610001555 10576002488 13220003110 21152004976 26440006220 33050007775 52880012440 66100015550 105760024880 132200031100 165250038875 264400062200 330500077750 528800124400 661000155500 826250194375 1322000311000 1652500388750 2644000622000 3305000777500 6610001555000 13220003110000