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131222323120 = 24571223191599
BaseRepresentation
bin111101000110101110…
…1011011111110110000
3110112201002221200201111
41322031131123332300
54122220403314440
6140141021443104
712323545225420
oct1721535337660
9415632850644
10131222323120
1150718642629
1221522110494
13c4b31b3955
1464cb96a480
15363030d4ea
hex1e8d75bfb0

131222323120 has 80 divisors (see below), whose sum is σ = 348963379200. Its totient is φ = 44953489152.

The previous prime is 131222323091. The next prime is 131222323139. The reversal of 131222323120 is 21323222131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 131222323091 and 131222323100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589081 + ... + 780679.

It is an arithmetic number, because the mean of its divisors is an integer number (4362042240).

Almost surely, 2131222323120 is an apocalyptic number.

131222323120 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 131222323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174481689600).

131222323120 is an abundant number, since it is smaller than the sum of its proper divisors (217741056080).

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

131222323120 is a wasteful number, since it uses less digits than its factorization.

131222323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192842 (or 192836 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 131222323120 its reverse (21323222131), we get a palindrome (152545545251).

The spelling of 131222323120 in words is "one hundred thirty-one billion, two hundred twenty-two million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1223 2446 4892 6115 8561 9784 12230 17122 19568 24460 34244 42805 48920 68488 85610 97840 136976 171220 191599 342440 383198 684880 766396 957995 1341193 1532792 1915990 2682386 3065584 3831980 5364772 6705965 7663960 10729544 13411930 15327920 21459088 26823860 53647720 107295440 234325577 468651154 937302308 1171627885 1640279039 1874604616 2343255770 3280558078 3749209232 4686511540 6561116156 8201395195 9373023080 13122232312 16402790390 18746046160 26244464624 32805580780 65611161560 131222323120