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13134011220 = 223351117312781
BaseRepresentation
bin11000011101101100…
…10001101101010100
31020220022221220022000
430032312101231110
5203344301324340
610011135235300
7643321152621
oct141666215524
936808856260
1013134011220
11562a897030
122666678b30
131314093195
148c8491348
1551d0c3d30
hex30ed91b54

13134011220 has 192 divisors, whose sum is σ = 44837210880. Its totient is φ = 3165350400.

The previous prime is 13134011213. The next prime is 13134011227. The reversal of 13134011220 is 2211043131.

13134011220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13134011213) and next prime (13134011227).

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 = 13134011193 and 13134011202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134011227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1021230 + ... + 1034010.

It is an arithmetic number, because the mean of its divisors is an integer number (233527140).

Almost surely, 213134011220 is an apocalyptic number.

13134011220 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 13134011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22418605440).

13134011220 is an abundant number, since it is smaller than the sum of its proper divisors (31703199660).

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

13134011220 is a wasteful number, since it uses less digits than its factorization.

13134011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12983 (or 12975 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13134011220 its reverse (2211043131), we get a palindrome (15345054351).

The spelling of 13134011220 in words is "thirteen billion, one hundred thirty-four million, eleven thousand, two hundred twenty".