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131300024221422 = 232729475314425223
BaseRepresentation
bin11101110110101010101011…
…010011010111111011101110
3122012220011022102221022112200
4131312222223103113323232
5114202204422200041142
61143130222020442330
736441054000233430
oct3566525323277356
9565804272838480
10131300024221422
1138922033763321
12128869a85493a6
1358357016b0314
14245cd52a50650
15102a6356a564c
hex776aab4d7eee

131300024221422 has 192 divisors, whose sum is σ = 349972090490880. Its totient is φ = 34781172072192.

The previous prime is 131300024221409. The next prime is 131300024221427. The reversal of 131300024221422 is 224122420003131.

131300024221422 is a `hidden beast` number, since 1 + 3 + 13 + 0 + 0 + 0 + 2 + 4 + 221 + 422 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131300024221427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1889503 + ... + 16314725.

It is an arithmetic number, because the mean of its divisors is an integer number (1822771304640).

Almost surely, 2131300024221422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131300024221422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174986045245440).

131300024221422 is an abundant number, since it is smaller than the sum of its proper divisors (218672066269458).

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

131300024221422 is a wasteful number, since it uses less digits than its factorization.

131300024221422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14425367 (or 14425364 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 131300024221422 its reverse (224122420003131), we get a palindrome (355422444224553).

The spelling of 131300024221422 in words is "one hundred thirty-one trillion, three hundred billion, twenty-four million, two hundred twenty-one thousand, four hundred twenty-two".