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13212240200 = 2352174390371
BaseRepresentation
bin11000100111000001…
…01100100101001000
31021002210011100021122
430103200230211020
5204024313141300
610023012054412
7645261121505
oct142340544510
937083140248
1013212240200
11566aa68685
122688904408
131327353413
148d4a164ac
15524dc7c85
hex31382c948

13212240200 has 96 divisors (see below), whose sum is σ = 33282200160. Its totient is φ = 4858291200.

The previous prime is 13212240103. The next prime is 13212240229. The reversal of 13212240200 is 204221231.

It is a super-2 number, since 2×132122402002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101015 + ... + 191385.

It is an arithmetic number, because the mean of its divisors is an integer number (346689585).

Almost surely, 213212240200 is an apocalyptic number.

13212240200 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 13212240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16641100080).

13212240200 is an abundant number, since it is smaller than the sum of its proper divisors (20069959960).

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

13212240200 is a wasteful number, since it uses less digits than its factorization.

13212240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90447 (or 90438 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 13212240200 its reverse (204221231), we get a palindrome (13416461431).

The spelling of 13212240200 in words is "thirteen billion, two hundred twelve million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 43 50 68 85 86 100 136 170 172 200 215 340 344 425 430 680 731 850 860 1075 1462 1700 1720 2150 2924 3400 3655 4300 5848 7310 8600 14620 18275 29240 36550 73100 90371 146200 180742 361484 451855 722968 903710 1536307 1807420 2259275 3072614 3614840 3885953 4518550 6145228 7681535 7771906 9037100 12290456 15363070 15543812 18074200 19429765 30726140 31087624 38407675 38859530 61452280 66061201 76815350 77719060 97148825 132122402 153630700 155438120 194297650 264244804 307261400 330306005 388595300 528489608 660612010 777190600 1321224020 1651530025 2642448040 3303060050 6606120100 13212240200