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13321131120 = 24325113674583
BaseRepresentation
bin11000110100000000…
…00101010001110000
31021101101001120112200
430122000011101300
5204240202143440
610041502023200
7651052513653
oct143200052160
937341046480
1013321131120
115716481a80
1226b9277b00
131343a8aa0b
1490527d89a
1552e736c30
hex31a005470

13321131120 has 240 divisors, whose sum is σ = 48947438592. Its totient is φ = 3219863040.

The previous prime is 13321131113. The next prime is 13321131137. The reversal of 13321131120 is 2113112331.

13321131120 is a `hidden beast` number, since 1 + 332 + 1 + 1 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 13321131093 and 13321131102.

It is a congruent number.

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, 2904349 + ... + 2908931.

Almost surely, 213321131120 is an apocalyptic number.

13321131120 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 13321131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24473719296).

13321131120 is an abundant number, since it is smaller than the sum of its proper divisors (35626307472).

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

13321131120 is a wasteful number, since it uses less digits than its factorization.

13321131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13321131120 its reverse (2113112331), we get a palindrome (15434243451).

It can be divided in two parts, 13321 and 131120, that added together give a palindrome (144441).

The spelling of 13321131120 in words is "thirteen billion, three hundred twenty-one million, one hundred thirty-one thousand, one hundred twenty".