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131222243055240 = 233551071576911163
BaseRepresentation
bin11101110101100010001111…
…001011110001011010001000
3122012121201112201221200100000
4131311202033023301122020
5114144421123210231430
61143030355524243000
736432331340232201
oct3565421713613210
9565551481850300
10131222243055240
11388a204a27a9a7
12128738bb840460
13582b28717252c
1424592948565a8
1510285d1dc3e60
hex77588f2f1688

131222243055240 has 768 divisors, whose sum is σ = 450281195320320. Its totient is φ = 34365342735360.

The previous prime is 131222243055227. The next prime is 131222243055257. The reversal of 131222243055240 is 42550342222131.

131222243055240 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 22 + 43 + 0 + 552 + 40 = 666.

131222243055240 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131222243055195 and 131222243055204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 112830818899 + ... + 112830820061.

It is an arithmetic number, because the mean of its divisors is an integer number (586303639740).

Almost surely, 2131222243055240 is an apocalyptic number.

131222243055240 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 131222243055240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225140597660160).

131222243055240 is an abundant number, since it is smaller than the sum of its proper divisors (319058952265080).

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

131222243055240 is a wasteful number, since it uses less digits than its factorization.

131222243055240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 131222243055240 its reverse (42550342222131), we get a palindrome (173772585277371).

The spelling of 131222243055240 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, two hundred forty-three million, fifty-five thousand, two hundred forty".