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13022011021200 = 2435229374195719
BaseRepresentation
bin1011110101111110110001…
…0101110101011110010000
31201002220002100010020222220
42331133230111311132100
53201323034310134300
643410121305101040
72512544400242016
oct275375425653620
951086070106886
1013022011021200
114170670813805
121563905187780
13735c7cb98a0c
143303a94348b6
15178aebc40da0
hexbd7ec575790

13022011021200 has 120 divisors (see below), whose sum is σ = 43152250430400. Its totient is φ = 3352793633280.

The previous prime is 13022011021193. The next prime is 13022011021241. The reversal of 13022011021200 is 212011022031.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13022011021200.

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, 187063060 + ... + 187132659.

It is an arithmetic number, because the mean of its divisors is an integer number (359602086920).

Almost surely, 213022011021200 is an apocalyptic number.

13022011021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13022011021200 is an abundant number, since it is smaller than the sum of its proper divisors (30130239409200).

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

13022011021200 is a wasteful number, since it uses less digits than its factorization.

13022011021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374195769 (or 374195758 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13022011021200 its reverse (212011022031), we get a palindrome (13234022043231).

The spelling of 13022011021200 in words is "thirteen trillion, twenty-two billion, eleven million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 374195719 748391438 1122587157 1496782876 1870978595 2245174314 2993565752 3741957190 4490348628 5612935785 5987131504 7483914380 8980697256 9354892975 10851675851 11225871570 14967828760 17961394512 18709785950 21703351702 22451743140 28064678925 29935657520 32555027553 37419571900 43406703404 44903486280 54258379255 56129357850 65110055106 74839143800 86813406808 89806972560 108516758510 112258715700 130220110212 149678287600 162775137765 173626813616 217033517020 224517431400 260440220424 271291896275 325550275530 434067034040 449034862800 520880440848 542583792550 651100551060 813875688825 868134068080 1085167585100 1302201102120 1627751377650 2170335170200 2604402204240 3255502755300 4340670340400 6511005510600 13022011021200