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13322212211300 = 2252137972424249
BaseRepresentation
bin1100000111011101000110…
…1110011111101001100100
31202011120221212121210200012
43001313101232133221210
53221232342311230200
644200050110305352
72543332560246416
oct301672156375144
952146855553605
1013322212211300
114276a11536113
1215b1b25ab8258
137583825aa505
14340b271889b6
1518181bde1a35
hexc1dd1b9fa64

13322212211300 has 36 divisors (see below), whose sum is σ = 29120216590500. Its totient is φ = 5289987909120.

The previous prime is 13322212211281. The next prime is 13322212211387. The reversal of 13322212211300 is 311221222331.

It can be written as a sum of positive squares in 6 ways, for example, as 653054701924 + 12669157509376 = 808118^2 + 3559376^2 .

It is a super-3 number, since 3×133222122113003 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486198425 + ... + 486225824.

Almost surely, 213322212211300 is an apocalyptic number.

13322212211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13322212211300 is an abundant number, since it is smaller than the sum of its proper divisors (15798004379200).

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

13322212211300 is a wasteful number, since it uses less digits than its factorization.

13322212211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972424400 (or 972424393 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13322212211300 its reverse (311221222331), we get a palindrome (13633433433631).

The spelling of 13322212211300 in words is "thirteen trillion, three hundred twenty-two billion, two hundred twelve million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 685 1370 2740 3425 6850 13700 972424249 1944848498 3889696996 4862121245 9724242490 19448484980 24310606225 48621212450 97242424900 133222122113 266444244226 532888488452 666110610565 1332221221130 2664442442260 3330553052825 6661106105650 13322212211300