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13122210020310 = 2335170881284413
BaseRepresentation
bin1011111011110100000010…
…1010101011101111010110
31201110110201101012210201000
42332331000222223233112
53204443241231122220
643524132101244130
72523022411545606
oct276750052535726
951413641183630
1013122210020310
1141aa109508886
12157b209703646
1374255a9a1cc1
14335192a96c06
1517b513688390
hexbef40aabbd6

13122210020310 has 64 divisors (see below), whose sum is σ = 34992887866560. Its totient is φ = 3499223224320.

The previous prime is 13122210020291. The next prime is 13122210020317. The reversal of 13122210020310 is 1302001222131.

13122210020310 is a `hidden beast` number, since 1 + 3 + 122 + 210 + 0 + 20 + 310 = 666.

It is a super-2 number, since 2×131222100203102 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122210020317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45995664 + ... + 46280076.

It is an arithmetic number, because the mean of its divisors is an integer number (546763872915).

Almost surely, 213122210020310 is an apocalyptic number.

13122210020310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13122210020310 is an abundant number, since it is smaller than the sum of its proper divisors (21870677846250).

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

13122210020310 is a wasteful number, since it uses less digits than its factorization.

13122210020310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455310 (or 455304 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13122210020310 its reverse (1302001222131), we get a palindrome (14424211242441).

The spelling of 13122210020310 in words is "thirteen trillion, one hundred twenty-two billion, two hundred ten million, twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 170881 284413 341762 512643 568826 853239 854405 1025286 1422065 1537929 1706478 1708810 2559717 2563215 2844130 3075858 4266195 4613787 5119434 5126430 7679151 7689645 8532390 9227574 12798585 15358302 15379290 23068935 25597170 38395755 46137870 76791510 48600777853 97201555706 145802333559 243003889265 291604667118 437407000677 486007778530 729011667795 874814001354 1312221002031 1458023335590 2187035003385 2624442004062 4374070006770 6561105010155 13122210020310