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131141112322240 = 2651289317933263
BaseRepresentation
bin11101110100010110101011…
…011010100101100011000000
3122012022222010121011102021001
4131310112223122211203000
5114142103444223302430
61142525221215141344
736423430005334006
oct3564265332454300
9565288117142231
10131141112322240
11388706a7078439
1212860039214854
1358237279b9247
14245539985ca76
1510264344ed3ca
hex7745ab6a58c0

131141112322240 has 56 divisors (see below), whose sum is σ = 312522039846720. Its totient is φ = 52415749306368.

The previous prime is 131141112322211. The next prime is 131141112322249. The reversal of 131141112322240 is 42223211141131.

It is a super-2 number, since 2×1311411123222402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131141112322199 and 131141112322208.

It is not an unprimeable number, because it can be changed into a prime (131141112322249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 158554152 + ... + 159379111.

Almost surely, 2131141112322240 is an apocalyptic number.

131141112322240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141112322240 is an abundant number, since it is smaller than the sum of its proper divisors (181380927524480).

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

131141112322240 is a wasteful number, since it uses less digits than its factorization.

131141112322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317934569 (or 317934559 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 131141112322240 its reverse (42223211141131), we get a palindrome (173364323463371).

The spelling of 131141112322240 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twelve million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1289 2578 5156 6445 10312 12890 20624 25780 41248 51560 82496 103120 206240 412480 317933263 635866526 1271733052 1589666315 2543466104 3179332630 5086932208 6358665260 10173864416 12717330520 20347728832 25434661040 50869322080 101738644160 409815976007 819631952014 1639263904028 2049079880035 3278527808056 4098159760070 6557055616112 8196319520140 13114111232224 16392639040280 26228222464448 32785278080560 65570556161120 131141112322240