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13122231220 = 22574111320231
BaseRepresentation
bin11000011100010010…
…10101101110110100
31020212111210102011201
430032021111232310
5203333242344340
610010034542244
7643116060610
oct141611255664
936774712151
1013122231220
11562418059a
122662737984
1313117ca377
148c6aa6340
1551c04879a
hex30e255bb4

13122231220 has 96 divisors (see below), whose sum is σ = 32548594176. Its totient is φ = 4350259200.

The previous prime is 13122231191. The next prime is 13122231229. The reversal of 13122231220 is 2213222131.

13122231220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131222312202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122231229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638505 + ... + 658735.

It is an arithmetic number, because the mean of its divisors is an integer number (339047856).

Almost surely, 213122231220 is an apocalyptic number.

13122231220 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 13122231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16274297088).

13122231220 is an abundant number, since it is smaller than the sum of its proper divisors (19426362956).

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

13122231220 is a wasteful number, since it uses less digits than its factorization.

13122231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20401 (or 20399 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13122231220 its reverse (2213222131), we get a palindrome (15335453351).

The spelling of 13122231220 in words is "thirteen billion, one hundred twenty-two million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 113 140 164 205 226 287 410 452 565 574 791 820 1130 1148 1435 1582 2260 2870 3164 3955 4633 5740 7910 9266 15820 18532 20231 23165 32431 40462 46330 64862 80924 92660 101155 129724 141617 162155 202310 283234 324310 404620 566468 648620 708085 829471 1416170 1658942 2286103 2832340 3317884 4147355 4572206 5806297 8294710 9144412 11430515 11612594 16002721 16589420 22861030 23225188 29031485 32005442 45722060 58062970 64010884 80013605 93730223 116125940 160027210 187460446 320054420 374920892 468651115 656111561 937302230 1312223122 1874604460 2624446244 3280557805 6561115610 13122231220