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13022310000 = 24354762011
BaseRepresentation
bin11000010000011000…
…01010111001110000
31020121112202220000210
430020030022321300
5203132202410000
65552105144120
7640463544240
oct141014127160
936545686023
1013022310000
115582833277
12263518b040
1312c6bb369b
148b76d5b20
155133ac350
hex30830ae70

13022310000 has 200 divisors, whose sum is σ = 48043921024. Its totient is φ = 2976480000.

The previous prime is 13022309987. The next prime is 13022310001. The reversal of 13022310000 is 1322031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×130223100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022310001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178995 + ... + 241005.

Almost surely, 213022310000 is an apocalyptic number.

13022310000 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 13022310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24021960512).

13022310000 is an abundant number, since it is smaller than the sum of its proper divisors (35021611024).

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

13022310000 is an equidigital number, since it uses as much as digits as its factorization.

13022310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62049 (or 62028 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13022310000 its reverse (1322031), we get a palindrome (13023632031).

The spelling of 13022310000 in words is "thirteen billion, twenty-two million, three hundred ten thousand".