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13123404000 = 253353717359
BaseRepresentation
bin11000011100011011…
…10100000011100000
31020212120222222221000
430032031310003200
5203334042412000
610010120032000
7643132044030
oct141615640340
936776888830
1013123404000
115624901733
122663002600
131311b1b115
148c6ccd8c0
1551c1cb000
hex30e3740e0

13123404000 has 384 divisors, whose sum is σ = 54596505600. Its totient is φ = 2999462400.

The previous prime is 13123403957. The next prime is 13123404011. The reversal of 13123404000 is 40432131.

13123404000 is a `hidden beast` number, since 1 + 31 + 234 + 0 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 747321 + ... + 764679.

It is an arithmetic number, because the mean of its divisors is an integer number (142178400).

Almost surely, 213123404000 is an apocalyptic number.

13123404000 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 13123404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27298252800).

13123404000 is an abundant number, since it is smaller than the sum of its proper divisors (41473101600).

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

13123404000 is a wasteful number, since it uses less digits than its factorization.

13123404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17400 (or 17376 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13123404000 its reverse (40432131), we get a palindrome (13163836131).

The spelling of 13123404000 in words is "thirteen billion, one hundred twenty-three million, four hundred four thousand".