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13130010022000 = 24536565005011
BaseRepresentation
bin1011111100010001000110…
…0101010101000001110000
31201111012211222021221111111
42333010101211111001300
53210110230031201000
643531502054323104
72523416613506404
oct277042145250160
951435758257444
1013130010022000
1142024513a4573
121580825959494
1374320195b811
143356d297d104
1517b81d329cba
hexbf111955070

13130010022000 has 40 divisors (see below), whose sum is σ = 31748364238032. Its totient is φ = 5252004008000.

The previous prime is 13130010021991. The next prime is 13130010022009. The reversal of 13130010022000 is 22001003131.

It is an interprime number because it is at equal distance from previous prime (13130010021991) and next prime (13130010022009).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130010022009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3282500506 + ... + 3282504505.

Almost surely, 213130010022000 is an apocalyptic number.

13130010022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130010022000 is an abundant number, since it is smaller than the sum of its proper divisors (18618354216032).

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

13130010022000 is an equidigital number, since it uses as much as digits as its factorization.

13130010022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6565005034 (or 6565005018 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13130010022000 its reverse (22001003131), we get a palindrome (13152011025131).

The spelling of 13130010022000 in words is "thirteen trillion, one hundred thirty billion, ten million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6565005011 13130010022 26260020044 32825025055 52520040088 65650050110 105040080176 131300100220 164125125275 262600200440 328250250550 525200400880 656500501100 820625626375 1313001002200 1641251252750 2626002004400 3282502505500 6565005011000 13130010022000