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12202102220 = 22571145953
BaseRepresentation
bin10110101110100110…
…10100110111001100
31011111101102000110212
423113103110313030
5144442214232340
65334445221552
7611244105020
oct132723246714
934441360425
1012202102220
1151a1850000
1224465618b8
1311c5ca6939
1483a7ca380
154b6392a65
hex2d74d4dcc

12202102220 has 120 divisors (see below), whose sum is σ = 32218761120. Its totient is φ = 3802613760.

The previous prime is 12202102183. The next prime is 12202102247. The reversal of 12202102220 is 2220120221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12202102195 and 12202102204.

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 39 ways as a sum of consecutive naturals, for example, 2046764 + ... + 2052716.

It is an arithmetic number, because the mean of its divisors is an integer number (268489676).

Almost surely, 212202102220 is an apocalyptic number.

12202102220 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 12202102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16109380560).

12202102220 is an abundant number, since it is smaller than the sum of its proper divisors (20016658900).

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

12202102220 is an equidigital number, since it uses as much as digits as its factorization.

12202102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6013 (or 5978 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12202102220 its reverse (2220120221), we get a palindrome (14422222441).

The spelling of 12202102220 in words is "twelve billion, two hundred two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1331 1540 1694 2420 2662 3388 4235 5324 5953 6655 8470 9317 11906 13310 14641 16940 18634 23812 26620 29282 29765 37268 41671 46585 58564 59530 65483 73205 83342 93170 102487 119060 130966 146410 166684 186340 204974 208355 261932 292820 327415 409948 416710 458381 512435 654830 720313 833420 916762 1024870 1309660 1440626 1833524 2049740 2291905 2881252 3601565 4583810 5042191 7203130 7923443 9167620 10084382 14406260 15846886 20168764 25210955 31693772 39617215 50421910 55464101 79234430 87157873 100843820 110928202 158468860 174315746 221856404 277320505 348631492 435789365 554641010 610105111 871578730 1109282020 1220210222 1743157460 2440420444 3050525555 6101051110 12202102220