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13124431320 = 233571113372953
BaseRepresentation
bin11000011100100011…
…01110110111011000
31020212122221012010220
430032101232313120
5203334323300240
610010154040040
7643143553110
oct141621566730
936778835126
1013124431320
115625443560
122663419020
1313120ba8c0
148c70ba040
1551c3305d0
hex30e46edd8

13124431320 has 512 divisors, whose sum is σ = 54312007680. Its totient is φ = 2448506880.

The previous prime is 13124431301. The next prime is 13124431349. The reversal of 13124431320 is 2313442131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4442964 + ... + 4445916.

It is an arithmetic number, because the mean of its divisors is an integer number (106078140).

Almost surely, 213124431320 is an apocalyptic number.

13124431320 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 13124431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27156003840).

13124431320 is an abundant number, since it is smaller than the sum of its proper divisors (41187576360).

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

13124431320 is a wasteful number, since it uses less digits than its factorization.

13124431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13124431320 its reverse (2313442131), we get a palindrome (15437873451).

It can be divided in two parts, 13124 and 431320, that added together give a palindrome (444444).

The spelling of 13124431320 in words is "thirteen billion, one hundred twenty-four million, four hundred thirty-one thousand, three hundred twenty".