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13022210320020 = 223251167739411429
BaseRepresentation
bin1011110101111111100000…
…1110000110011010010100
31201002220121020010200120200
42331133320032012122110
53201323441320220040
643410153144500500
72512552340246106
oct275377016063224
951086536120520
1013022210320020
114170763267980
12156395ba7a730
13735cb2268b05
143303c7ab3576
15178b0e4ac630
hexbd7f8386694

13022210320020 has 576 divisors, whose sum is σ = 44412115587840. Its totient is φ = 3061778227200.

The previous prime is 13022210319991. The next prime is 13022210320079. The reversal of 13022210320020 is 2002301222031.

13022210320020 is a `hidden beast` number, since 1 + 302 + 2 + 21 + 0 + 320 + 0 + 20 = 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 = 13022210319975 and 13022210320002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9112812666 + ... + 9112814094.

It is an arithmetic number, because the mean of its divisors is an integer number (77104367340).

Almost surely, 213022210320020 is an apocalyptic number.

13022210320020 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 13022210320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22206057793920).

13022210320020 is an abundant number, since it is smaller than the sum of its proper divisors (31389905267820).

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

13022210320020 is a wasteful number, since it uses less digits than its factorization.

13022210320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2531 counting only the distinct ones).

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

Adding to 13022210320020 its reverse (2002301222031), we get a palindrome (15024511542051).

The spelling of 13022210320020 in words is "thirteen trillion, twenty-two billion, two hundred ten million, three hundred twenty thousand, twenty".