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13200122220 = 2235378966809
BaseRepresentation
bin11000100101100100…
…11110000101101100
31021001221100200112120
430102302132011230
5204013212402340
610021500232540
7645053121225
oct142262360554
937057320476
1013200122220
11566414121a
12268483b750
13132499c80c
148d318024c
15523cd24d0
hex312c9e16c

13200122220 has 96 divisors (see below), whose sum is σ = 38386353600. Its totient is φ = 3386363904.

The previous prime is 13200122219. The next prime is 13200122227. The reversal of 13200122220 is 2222100231.

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 13200122220.

It is not an unprimeable number, because it can be changed into a prime (13200122227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164176 + ... + 230984.

It is an arithmetic number, because the mean of its divisors is an integer number (399857850).

Almost surely, 213200122220 is an apocalyptic number.

13200122220 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 13200122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19193176800).

13200122220 is an abundant number, since it is smaller than the sum of its proper divisors (25186231380).

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

13200122220 is a wasteful number, since it uses less digits than its factorization.

13200122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66947 (or 66945 counting only the distinct ones).

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

Adding to 13200122220 its reverse (2222100231), we get a palindrome (15422222451).

The spelling of 13200122220 in words is "thirteen billion, two hundred million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 89 111 148 178 185 222 267 356 370 444 445 534 555 740 890 1068 1110 1335 1780 2220 2670 3293 5340 6586 9879 13172 16465 19758 32930 39516 49395 65860 66809 98790 133618 197580 200427 267236 334045 400854 668090 801708 1002135 1336180 2004270 2471933 4008540 4943866 5946001 7415799 9887732 11892002 12359665 14831598 17838003 23784004 24719330 29663196 29730005 35676006 37078995 49438660 59460010 71352012 74157990 89190015 118920020 148315980 178380030 220002037 356760060 440004074 660006111 880008148 1100010185 1320012222 2200020370 2640024444 3300030555 4400040740 6600061110 13200122220