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13124231120 = 24571121347317
BaseRepresentation
bin11000011100100001…
…11101111111010000
31020212122120000112002
430032100331333100
5203334300343440
610010145453132
7643142060330
oct141620757720
936778500462
1013124231120
115625317100
1226633411a8
13131204a740
148c70670c0
1551c2e1115
hex30e43dfd0

13124231120 has 480 divisors, whose sum is σ = 42291293184. Its totient is φ = 3684003840.

The previous prime is 13124231101. The next prime is 13124231129. The reversal of 13124231120 is 2113242131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13124231092 and 13124231101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13124231129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41401202 + ... + 41401518.

Almost surely, 213124231120 is an apocalyptic number.

13124231120 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 13124231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21145646592).

13124231120 is an abundant number, since it is smaller than the sum of its proper divisors (29167062064).

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

13124231120 is a wasteful number, since it uses less digits than its factorization.

13124231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13124231120 its reverse (2113242131), we get a palindrome (15237473251).

The spelling of 13124231120 in words is "thirteen billion, one hundred twenty-four million, two hundred thirty-one thousand, one hundred twenty".