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13201222200 = 23352199110563
BaseRepresentation
bin11000100101101101…
…01010101000111000
31021002000102120102120
430102312222220320
5204014003102300
610021540001240
7645065352165
oct142266525070
937060376376
1013201222200
1156648226a1
122685090220
131324c963aa
148d338906c
15523e4d3a0
hex312daaa38

13201222200 has 96 divisors (see below), whose sum is σ = 41129808000. Its totient is φ = 3502604160.

The previous prime is 13201222157. The next prime is 13201222247. The reversal of 13201222200 is 222210231.

It is a happy number.

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 13201222200.

It is a congruent number.

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, 64119 + ... + 174681.

It is an arithmetic number, because the mean of its divisors is an integer number (428435500).

Almost surely, 213201222200 is an apocalyptic number.

13201222200 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 13201222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20564904000).

13201222200 is an abundant number, since it is smaller than the sum of its proper divisors (27928585800).

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

13201222200 is a wasteful number, since it uses less digits than its factorization.

13201222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110781 (or 110772 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 13201222200 its reverse (222210231), we get a palindrome (13423432431).

The spelling of 13201222200 in words is "thirteen billion, two hundred one million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 199 200 300 398 597 600 796 995 1194 1592 1990 2388 2985 3980 4776 4975 5970 7960 9950 11940 14925 19900 23880 29850 39800 59700 110563 119400 221126 331689 442252 552815 663378 884504 1105630 1326756 1658445 2211260 2653512 2764075 3316890 4422520 5528150 6633780 8292225 11056300 13267560 16584450 22002037 22112600 33168900 44004074 66006111 66337800 88008148 110010185 132012222 176016296 220020370 264024444 330030555 440040740 528048888 550050925 660061110 880081480 1100101850 1320122220 1650152775 2200203700 2640244440 3300305550 4400407400 6600611100 13201222200