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13323210120 = 23325113790931
BaseRepresentation
bin11000110100010000…
…00000110110001000
31021101111222012101200
430122020000312020
5204241220210440
610042014344200
7651106263123
oct143210006610
937344865350
1013323210120
115717671a60
1226b9abb060
1313443380ac
149056613ba
1552e9e7c30
hex31a200d88

13323210120 has 192 divisors, whose sum is σ = 48514040640. Its totient is φ = 3142540800.

The previous prime is 13323210113. The next prime is 13323210143. The reversal of 13323210120 is 2101232331.

13323210120 is a `hidden beast` number, since 1 + 332 + 3 + 210 + 120 = 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 = 13323210093 and 13323210102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101055 + ... + 191985.

It is an arithmetic number, because the mean of its divisors is an integer number (252677295).

Almost surely, 213323210120 is an apocalyptic number.

13323210120 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 13323210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24257020320).

13323210120 is an abundant number, since it is smaller than the sum of its proper divisors (35190830520).

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

13323210120 is a wasteful number, since it uses less digits than its factorization.

13323210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90996 (or 90989 counting only the distinct ones).

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

Adding to 13323210120 its reverse (2101232331), we get a palindrome (15424442451).

The spelling of 13323210120 in words is "thirteen billion, three hundred twenty-three million, two hundred ten thousand, one hundred twenty".