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131322243520000 = 29541379409977
BaseRepresentation
bin11101110110111111010111…
…101011010001011000000000
3122012222021122221110122010001
4131312333113223101120000
5114203040423320120000
61143144334505245344
736442501421164531
oct3566772753213000
9565867587418101
10131322243520000
11389304a59a31a5
121288b169793854
135837832ab5680
14246005d998688
15102aed61a146a
hex776fd7ad1600

131322243520000 has 800 divisors, whose sum is σ = 358812365788800. Its totient is φ = 47708504064000.

The previous prime is 131322243519977. The next prime is 131322243520123. The reversal of 131322243520000 is 25342223131.

It is a happy number.

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, 134413759512 + ... + 134413760488.

It is an arithmetic number, because the mean of its divisors is an integer number (448515457236).

Almost surely, 2131322243520000 is an apocalyptic number.

131322243520000 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 131322243520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179406182894400).

131322243520000 is an abundant number, since it is smaller than the sum of its proper divisors (227490122268800).

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

131322243520000 is an frugal number, since it uses more digits than its factorization.

131322243520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 131322243520000 its reverse (25342223131), we get a palindrome (131347585743131).

The spelling of 131322243520000 in words is "one hundred thirty-one trillion, three hundred twenty-two billion, two hundred forty-three million, five hundred twenty thousand".