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13221420300 = 223252111335497
BaseRepresentation
bin11000101000000111…
…01101110100001100
31021010102102202000100
430110003231310030
5204034140422200
610023540531100
7645432134604
oct142403556414
937112382010
1013221420300
115675168840
12268b9b0a90
131329218a2a
148d5d25c04
15525adcd00
hex3140edd0c

13221420300 has 108 divisors (see below), whose sum is σ = 45209278296. Its totient is φ = 3205190400.

The previous prime is 13221420293. The next prime is 13221420307. The reversal of 13221420300 is 302412231.

13221420300 is a `hidden beast` number, since 1 + 322 + 1 + 42 + 0 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (13221420293) and next prime (13221420307).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13221420307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 657849 + ... + 677648.

Almost surely, 213221420300 is an apocalyptic number.

13221420300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221420300 is an abundant number, since it is smaller than the sum of its proper divisors (31987857996).

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

13221420300 is a wasteful number, since it uses less digits than its factorization.

13221420300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335528 (or 1335518 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13221420300 its reverse (302412231), we get a palindrome (13523832531).

The spelling of 13221420300 in words is "thirteen billion, two hundred twenty-one million, four hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 1335497 2670994 4006491 5341988 6677485 8012982 12019473 13354970 14690467 16025964 20032455 24038946 26709940 29380934 33387425 40064910 44071401 48077892 58761868 60097365 66774850 73452335 80129820 88142802 100162275 120194730 132214203 133549700 146904670 176285604 200324550 220357005 240389460 264428406 293809340 300486825 367261675 400649100 440714010 528856812 600973650 661071015 734523350 881428020 1101785025 1201947300 1322142030 1469046700 2203570050 2644284060 3305355075 4407140100 6610710150 13221420300