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131344320000 = 29354414771
BaseRepresentation
bin111101001010010111…
…0110100011000000000
3110120000121111202222110
41322110232310120000
54122443121220000
6140201100335320
712326556204435
oct1722456643000
9416017452873
10131344320000
11507804986a3
1221556b44540
13c50255975a
1464ddc45b8c
15363adaa850
hex1e94bb4600

131344320000 has 800 divisors, whose sum is σ = 463884309504. Its totient is φ = 32972800000.

The previous prime is 131344319999. The next prime is 131344320013. The reversal of 131344320000 is 23443131.

It is a tau number, because it is divible by the number of its divisors (800).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1849919965 + ... + 1849920035.

Almost surely, 2131344320000 is an apocalyptic number.

131344320000 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 131344320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231942154752).

131344320000 is an abundant number, since it is smaller than the sum of its proper divisors (332539989504).

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

131344320000 is an frugal number, since it uses more digits than its factorization.

131344320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 131344320000 its reverse (23443131), we get a palindrome (131367763131).

The spelling of 131344320000 in words is "one hundred thirty-one billion, three hundred forty-four million, three hundred twenty thousand".