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13102130030220 = 223257211431313331
BaseRepresentation
bin1011111010101001001111…
…0011100110011010001100
31201101112212222011121200100
42332222103303212122030
53204131130241431340
643511011353331100
72521411665466500
oct276522363463214
951345788147610
1013102130030220
1141a1644915050
121577344a06a90
137406aa86b66a
14334209d0c300
1517ac3a8bb830
hexbea93ce668c

13102130030220 has 432 divisors, whose sum is σ = 50551871924736. Its totient is φ = 2716195104000.

The previous prime is 13102130030153. The next prime is 13102130030323. The reversal of 13102130030220 is 2203003120131.

13102130030220 is a `hidden beast` number, since 1 + 310 + 2 + 1 + 30 + 0 + 302 + 20 = 666.

It is a super-2 number, since 2×131021300302202 (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 junction number, because it is equal to n+sod(n) for n = 13102130030193 and 13102130030202.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41658955 + ... + 41972285.

It is an arithmetic number, because the mean of its divisors is an integer number (117018222048).

Almost surely, 213102130030220 is an apocalyptic number.

13102130030220 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 13102130030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25275935962368).

13102130030220 is an abundant number, since it is smaller than the sum of its proper divisors (37449741894516).

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

13102130030220 is a wasteful number, since it uses less digits than its factorization.

13102130030220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313802 (or 313790 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13102130030220 its reverse (2203003120131), we get a palindrome (15305133150351).

The spelling of 13102130030220 in words is "thirteen trillion, one hundred two billion, one hundred thirty million, thirty thousand, two hundred twenty".