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131300112020 = 225711223382331
BaseRepresentation
bin111101001001000011…
…0001011011010010100
3110112220112022210000212
41322102012023122110
54122400312041040
6140152441024552
712325511352260
oct1722206133224
9415815283025
10131300112020
1150758543580
1221544185158
13c4c634b79c
1464d80190a0
153637076d65
hex1e9218b694

131300112020 has 96 divisors (see below), whose sum is σ = 345310027776. Its totient is φ = 40741084800.

The previous prime is 131300111989. The next prime is 131300112067. The reversal of 131300112020 is 20211003131.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 131300111986 and 131300112004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152255 + ... + 534585.

It is an arithmetic number, because the mean of its divisors is an integer number (3596979456).

Almost surely, 2131300112020 is an apocalyptic number.

131300112020 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 131300112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172655013888).

131300112020 is an abundant number, since it is smaller than the sum of its proper divisors (214009915756).

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

131300112020 is a wasteful number, since it uses less digits than its factorization.

131300112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382581 (or 382579 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 131300112020 its reverse (20211003131), we get a palindrome (151511115151).

The spelling of 131300112020 in words is "one hundred thirty-one billion, three hundred million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 223 308 385 446 770 892 1115 1540 1561 2230 2453 3122 4460 4906 6244 7805 9812 12265 15610 17171 24530 31220 34342 49060 68684 85855 171710 343420 382331 764662 1529324 1911655 2676317 3823310 4205641 5352634 7646620 8411282 10705268 13381585 16822564 21028205 26763170 29439487 42056410 53526340 58878974 84112820 85259813 117757948 147197435 170519626 294394870 341039252 426299065 588789740 596818691 852598130 937857943 1193637382 1705196260 1875715886 2387274764 2984093455 3751431772 4689289715 5968186910 6565005601 9378579430 11936373820 13130011202 18757158860 26260022404 32825028005 65650056010 131300112020