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13320022320 = 2434511186869
BaseRepresentation
bin11000110011110111…
…10110100100110000
31021101021222020120000
430121323312210300
5204234411203240
610041422150000
7651040215213
oct143173664460
937337866500
1013320022320
115715894a10
1226b8a22300
131343790117
1490507177a
1552e5b8430
hex319ef6930

13320022320 has 200 divisors, whose sum is σ = 50468354640. Its totient is φ = 3229079040.

The previous prime is 13320022319. The next prime is 13320022363. The reversal of 13320022320 is 2322002331.

It is a happy number.

13320022320 is a `hidden beast` number, since 1 + 3 + 320 + 0 + 22 + 320 = 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 = 13320022293 and 13320022302.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22155 + ... + 164714.

Almost surely, 213320022320 is an apocalyptic number.

13320022320 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 13320022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25234177320).

13320022320 is an abundant number, since it is smaller than the sum of its proper divisors (37148332320).

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

13320022320 is a wasteful number, since it uses less digits than its factorization.

13320022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186905 (or 186890 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13320022320 its reverse (2322002331), we get a palindrome (15642024651).

The spelling of 13320022320 in words is "thirteen billion, three hundred twenty million, twenty-two thousand, three hundred twenty".