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131322422000 = 24537111018443
BaseRepresentation
bin111101001001101101…
…1010010001011110000
3110112222002022020120102
41322103123102023300
54122422020001000
6140154555131532
712326202112040
oct1722333221360
9415862266512
10131322422000
115076a0a1380
122154b743ba8
13c4cab60463
1464dad85720
153638ed23d5
hex1e936d22f0

131322422000 has 320 divisors, whose sum is σ = 399858121728. Its totient is φ = 40521600000.

The previous prime is 131322421987. The next prime is 131322422057. The reversal of 131322422000 is 224223131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15549779 + ... + 15558221.

Almost surely, 2131322422000 is an apocalyptic number.

131322422000 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 131322422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199929060864).

131322422000 is an abundant number, since it is smaller than the sum of its proper divisors (268535699728).

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

131322422000 is a wasteful number, since it uses less digits than its factorization.

131322422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585 (or 8569 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 131322422000 its reverse (224223131), we get a palindrome (131546645131).

The spelling of 131322422000 in words is "one hundred thirty-one billion, three hundred twenty-two million, four hundred twenty-two thousand".