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13200223221240 = 23351114011713737
BaseRepresentation
bin1100000000010110101010…
…0111011011010111111000
31201201221002020211000202020
43000011222213123113320
53212233024121034430
644024033203034440
72531453560036236
oct300055247332770
951657066730666
1013200223221240
11422a201974360
12159236006ba20
13749a11302263
14338c73a11956
1517d57c500b10
hexc016a9db5f8

13200223221240 has 128 divisors (see below), whose sum is σ = 43203874417920. Its totient is φ = 3199821235200.

The previous prime is 13200223221223. The next prime is 13200223221259. The reversal of 13200223221240 is 4212232200231.

13200223221240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13200223221240.

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, 18137652 + ... + 18851388.

It is an arithmetic number, because the mean of its divisors is an integer number (337530268890).

Almost surely, 213200223221240 is an apocalyptic number.

13200223221240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200223221240 is an abundant number, since it is smaller than the sum of its proper divisors (30003651196680).

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

13200223221240 is a wasteful number, since it uses less digits than its factorization.

13200223221240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727773 (or 727769 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13200223221240 its reverse (4212232200231), we get a palindrome (17412455421471).

The spelling of 13200223221240 in words is "thirteen trillion, two hundred billion, two hundred twenty-three million, two hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 14011 28022 42033 56044 70055 84066 112088 140110 154121 168132 210165 280220 308242 336264 420330 462363 560440 616484 713737 770605 840660 924726 1232968 1427474 1541210 1681320 1849452 2141211 2311815 2854948 3082420 3568685 3698904 4282422 4623630 5709896 6164840 7137370 7851107 8564844 9247260 10706055 14274740 15702214 17129688 18494520 21412110 23553321 28549480 31404428 39255535 42824220 47106642 62808856 78511070 85648440 94213284 117766605 157022140 188426568 235533210 314044280 471066420 942132840 10000169107 20000338214 30000507321 40000676428 50000845535 60001014642 80001352856 100001691070 110001860177 120002029284 150002536605 200003382140 220003720354 240004058568 300005073210 330005580531 400006764280 440007440708 550009300885 600010146420 660011161062 880014881416 1100018601770 1200020292840 1320022322124 1650027902655 2200037203540 2640044644248 3300055805310 4400074407080 6600111610620 13200223221240