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131232211341000 = 233537114327131293
BaseRepresentation
bin11101110101101011100001…
…010101110000111011001000
3122012122200021110001001200220
4131311223201111300323020
5114200102032100403000
61143035125015230040
736433133351245620
oct3565534125607310
9565580243031626
10131232211341000
11388a62a50a35a0
1212875822078320
13582c1b5407683
14245995c6c1880
1510289b70ba1a0
hex775ae1570ec8

131232211341000 has 512 divisors, whose sum is σ = 510598122577920. Its totient is φ = 27262521216000.

The previous prime is 131232211340977. The next prime is 131232211341037. The reversal of 131232211341000 is 143112232131.

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

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, 999471354 + ... + 999602646.

It is an arithmetic number, because the mean of its divisors is an integer number (997261958160).

Almost surely, 2131232211341000 is an apocalyptic number.

131232211341000 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 131232211341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255299061288960).

131232211341000 is an abundant number, since it is smaller than the sum of its proper divisors (379365911236920).

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

131232211341000 is a wasteful number, since it uses less digits than its factorization.

131232211341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135662 (or 135648 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131232211341000 its reverse (143112232131), we get a palindrome (131375323573131).

The spelling of 131232211341000 in words is "one hundred thirty-one trillion, two hundred thirty-two billion, two hundred eleven million, three hundred forty-one thousand".