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13022122200 = 23352199109063
BaseRepresentation
bin11000010000010110…
…11101000011011000
31020121112102100102020
430020023131003120
5203132130402300
65552101134440
7640462132563
oct141013350330
936545370366
1013022122200
11558271516a
1226350ba420
1312c6b49069
148b76874da
155133718a0
hex3082dd0d8

13022122200 has 96 divisors (see below), whose sum is σ = 40571808000. Its totient is φ = 3455084160.

The previous prime is 13022122153. The next prime is 13022122249. The reversal of 13022122200 is 222122031.

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 13022122200.

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, 64869 + ... + 173931.

It is an arithmetic number, because the mean of its divisors is an integer number (422623000).

Almost surely, 213022122200 is an apocalyptic number.

13022122200 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 13022122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20285904000).

13022122200 is an abundant number, since it is smaller than the sum of its proper divisors (27549685800).

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

13022122200 is a wasteful number, since it uses less digits than its factorization.

13022122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109281 (or 109272 counting only the distinct ones).

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

Adding to 13022122200 its reverse (222122031), we get a palindrome (13244244231).

The spelling of 13022122200 in words is "thirteen billion, twenty-two million, one 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 109063 119400 218126 327189 436252 545315 654378 872504 1090630 1308756 1635945 2181260 2617512 2726575 3271890 4362520 5453150 6543780 8179725 10906300 13087560 16359450 21703537 21812600 32718900 43407074 65110611 65437800 86814148 108517685 130221222 173628296 217035370 260442444 325553055 434070740 520884888 542588425 651106110 868141480 1085176850 1302212220 1627765275 2170353700 2604424440 3255530550 4340707400 6511061100 13022122200