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13201221220 = 22511234216197
BaseRepresentation
bin11000100101101101…
…01010011001100100
31021002000102112002021
430102312222121210
5204014003034340
610021535552524
7645065346265
oct142266523144
937060375067
1013201221220
115664821990
12268508b744
131324c95b05
148d338896c
15523e4ce4a
hex312daa664

13201221220 has 96 divisors (see below), whose sum is σ = 31637765376. Its totient is φ = 4580083200.

The previous prime is 13201221179. The next prime is 13201221263. The reversal of 13201221220 is 2212210231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13201221194 and 13201221203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2127162 + ... + 2133358.

It is an arithmetic number, because the mean of its divisors is an integer number (329560056).

Almost surely, 213201221220 is an apocalyptic number.

13201221220 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 13201221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15818882688).

13201221220 is an abundant number, since it is smaller than the sum of its proper divisors (18436544156).

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

13201221220 is a wasteful number, since it uses less digits than its factorization.

13201221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6661 (or 6659 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13201221220 its reverse (2212210231), we get a palindrome (15413431451).

The spelling of 13201221220 in words is "thirteen billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 421 460 506 842 1012 1265 1684 2105 2530 4210 4631 5060 6197 8420 9262 9683 12394 18524 19366 23155 24788 30985 38732 46310 48415 61970 68167 92620 96830 106513 123940 136334 142531 193660 213026 272668 285062 340835 426052 532565 570124 681670 712655 1065130 1363340 1425310 1567841 2130260 2608937 2850620 3135682 5217874 6271364 7839205 10435748 13044685 15678410 26089370 28698307 31356820 52178740 57396614 60005551 114793228 120011102 143491535 240022204 286983070 300027755 573966140 600055510 660061061 1200111020 1320122122 2640244244 3300305305 6600610610 13201221220