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13220110112 = 25111716713229
BaseRepresentation
bin11000100111111101…
…01101111100100000
31021010022222011202212
430103332231330200
5204033322010422
610023452501252
7645415040036
oct142376557440
937108864685
1013220110112
115674453440
12268b47a828
131328b7a581
148d5aa4556
1552592e9e2
hex313fadf20

13220110112 has 96 divisors (see below), whose sum is σ = 30245685120. Its totient is φ = 5621370880.

The previous prime is 13220110109. The next prime is 13220110121. The reversal of 13220110112 is 21101102231.

It is a super-2 number, since 2×132201101122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 992714 + ... + 1005942.

It is an arithmetic number, because the mean of its divisors is an integer number (315059220).

Almost surely, 213220110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15122842560).

13220110112 is an abundant number, since it is smaller than the sum of its proper divisors (17025575008).

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

13220110112 is a wasteful number, since it uses less digits than its factorization.

13220110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13434 (or 13426 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 13220110112 its reverse (21101102231), we get a palindrome (34321212343).

The spelling of 13220110112 in words is "thirteen billion, two hundred twenty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 167 176 187 272 334 352 374 544 668 748 1336 1496 1837 2672 2839 2992 3674 5344 5678 5984 7348 11356 13229 14696 22712 26458 29392 31229 45424 52916 58784 62458 90848 105832 124916 145519 211664 224893 249832 291038 423328 449786 499664 582076 899572 999328 1164152 1799144 2209243 2328304 2473823 3598288 4418486 4656608 4947646 7196576 8836972 9895292 17673944 19790584 24301673 35347888 37557131 39581168 48603346 70695776 75114262 79162336 97206692 150228524 194413384 300457048 388826768 413128441 600914096 777653536 826256882 1201828192 1652513764 3305027528 6610055056 13220110112