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131141420043000 = 233531725749920051
BaseRepresentation
bin11101110100010110111101…
…110000011100101011111000
3122012022222221001012020210020
4131310112331300130223320
5114142110112012334000
61142525311530450440
736423440433041043
oct3564267560345370
9565288831166706
10131141420043000
1138870844845614
1212860104293a20
13582377668b333
1424553c8681c5a
151026451534ba0
hex7745bdc1caf8

131141420043000 has 512 divisors, whose sum is σ = 435808563840000. Its totient is φ = 32718520320000.

The previous prime is 131141420042977. The next prime is 131141420043019. The reversal of 131141420043000 is 340024141131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6540382975 + ... + 6540403025.

It is an arithmetic number, because the mean of its divisors is an integer number (851188601250).

Almost surely, 2131141420043000 is an apocalyptic number.

131141420043000 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 131141420043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217904281920000).

131141420043000 is an abundant number, since it is smaller than the sum of its proper divisors (304667143797000).

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

131141420043000 is a wasteful number, since it uses less digits than its factorization.

131141420043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20848 (or 20834 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131141420043000 its reverse (340024141131), we get a palindrome (131481444184131).

The spelling of 131141420043000 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred twenty million, forty-three thousand".