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13122103100220 = 223251725185320029
BaseRepresentation
bin1011111011110011101001…
…0010110100001100111100
31201110110102221000200220200
42332330322102310030330
53204443031343201340
643524113321443500
72523016643002332
oct276747222641474
951413387020820
1013122103100220
1141aa064120174
12157b199940590
137425417a778a
143351827c3b52
1517b5090b8330
hexbef3a4b433c

13122103100220 has 288 divisors, whose sum is σ = 42364736406720. Its totient is φ = 3276260352000.

The previous prime is 13122103100177. The next prime is 13122103100221. The reversal of 13122103100220 is 2200130122131.

13122103100220 is a `hidden beast` number, since 1 + 3 + 122 + 10 + 310 + 0 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13122103100193 and 13122103100202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122103100221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 655145166 + ... + 655165194.

It is an arithmetic number, because the mean of its divisors is an integer number (147099779190).

Almost surely, 213122103100220 is an apocalyptic number.

13122103100220 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 13122103100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21182368203360).

13122103100220 is an abundant number, since it is smaller than the sum of its proper divisors (29242633306500).

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

13122103100220 is a wasteful number, since it uses less digits than its factorization.

13122103100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21165 (or 21160 counting only the distinct ones).

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

Adding to 13122103100220 its reverse (2200130122131), we get a palindrome (15322233222351).

The spelling of 13122103100220 in words is "thirteen trillion, one hundred twenty-two billion, one hundred three million, one hundred thousand, two hundred twenty".