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13121481600 = 273452233171
BaseRepresentation
bin11000011100001100…
…11110101110000000
31020212110101022220000
430032012132232000
5203333044402400
610010010520000
7643106516253
oct141606365600
936773338800
1013121481600
115623809377
122662436000
1313115c70c6
148c694d09a
1551be4b600
hex30e19eb80

13121481600 has 960 divisors, whose sum is σ = 52890900480. Its totient is φ = 3193344000.

The previous prime is 13121481589. The next prime is 13121481601. The reversal of 13121481600 is 618412131.

It is a happy number.

13121481600 is a `hidden beast` number, since 1 + 3 + 12 + 1 + 48 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121481601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 184809565 + ... + 184809635.

It is an arithmetic number, because the mean of its divisors is an integer number (55094688).

Almost surely, 213121481600 is an apocalyptic number.

13121481600 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 13121481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26445450240).

13121481600 is an abundant number, since it is smaller than the sum of its proper divisors (39769418880).

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

13121481600 is a wasteful number, since it uses less digits than its factorization.

13121481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 13121481600 its reverse (618412131), we get a palindrome (13739893731).

The spelling of 13121481600 in words is "thirteen billion, one hundred twenty-one million, four hundred eighty-one thousand, six hundred".