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13211231040 = 2632572179523
BaseRepresentation
bin11000100110111001…
…10110001101000000
31021002201021001222100
430103130312031000
5204024033343130
610022534310400
7645246416400
oct142334661500
937081231870
1013211231040
11566a439467
1226884b8400
13132708bc97
148d4832800
15524c78c60
hex313736340

13211231040 has 504 divisors, whose sum is σ = 53257033440. Its totient is φ = 2997098496.

The previous prime is 13211231023. The next prime is 13211231041. The reversal of 13211231040 is 4013211231.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211231041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25260219 + ... + 25260741.

Almost surely, 213211231040 is an apocalyptic number.

13211231040 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 13211231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26628516720).

13211231040 is an abundant number, since it is smaller than the sum of its proper divisors (40045802400).

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

13211231040 is a wasteful number, since it uses less digits than its factorization.

13211231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 719 counting only the distinct ones).

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

Adding to 13211231040 its reverse (4013211231), we get a palindrome (17224442271).

The spelling of 13211231040 in words is "thirteen billion, two hundred eleven million, two hundred thirty-one thousand, forty".