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13100001220 = 2252983503541
BaseRepresentation
bin11000011001101001…
…00010011111000100
31020210221222000100101
430030310202133010
5203312100014340
610003522253444
7642426113245
oct141464423704
936727860311
1013100001220
115612677899
1226571b7284
13130a015c17
148c3b5accc
1551a106c9a
hex30cd227c4

13100001220 has 96 divisors (see below), whose sum is σ = 28912101120. Its totient is φ = 4979197440.

The previous prime is 13100001197. The next prime is 13100001241. The reversal of 13100001220 is 2210000131.

It is a super-2 number, since 2×131000012202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 13100001197 and 13100001206.

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, 24214150 + ... + 24214690.

It is an arithmetic number, because the mean of its divisors is an integer number (301167720).

Almost surely, 213100001220 is an apocalyptic number.

13100001220 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 13100001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14456050560).

13100001220 is an abundant number, since it is smaller than the sum of its proper divisors (15812099900).

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

13100001220 is a wasteful number, since it uses less digits than its factorization.

13100001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 13100001220 its reverse (2210000131), we get a palindrome (15310001351).

The spelling of 13100001220 in words is "thirteen billion, one hundred million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 83 116 145 166 290 332 415 503 541 580 830 1006 1082 1660 2012 2164 2407 2515 2705 4814 5030 5410 9628 10060 10820 12035 14587 15689 24070 29174 31378 41749 44903 48140 58348 62756 72935 78445 83498 89806 145870 156890 166996 179612 208745 224515 272123 291740 313780 417490 449030 544246 834980 898060 1088492 1210721 1302187 1360615 2421442 2604374 2721230 4842884 5208748 5442460 6053605 6510935 7891567 12107210 13021870 15783134 22586209 24214420 26043740 31566268 39457835 45172418 78915670 90344836 112931045 157831340 225862090 451724180 655000061 1310000122 2620000244 3275000305 6550000610 13100001220