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131200011101322 = 23221369913410819
BaseRepresentation
bin11101110101001101100010…
…000011100110010010001010
3122012112121011100121101220100
4131311031202003212102022
5114144040110320220242
61143012241504310230
736430613403602052
oct3565154203462212
9565477140541810
10131200011101322
1138893680986969
121286b536312376
135829153258b07
142458185d76562
151027c3022854c
hex7753620e648a

131200011101322 has 24 divisors (see below), whose sum is σ = 284266907084160. Its totient is φ = 43733303746920.

The previous prime is 131200011101321. The next prime is 131200011101329. The reversal of 131200011101322 is 223101110002131.

131200011101322 is a `hidden beast` number, since 1 + 31 + 200 + 0 + 1 + 110 + 1 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131200011101295 and 131200011101304.

It is not an unprimeable number, because it can be changed into a prime (131200011101321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36760429 + ... + 40171247.

It is an arithmetic number, because the mean of its divisors is an integer number (11844454461840).

Almost surely, 2131200011101322 is an apocalyptic number.

131200011101322 is an abundant number, since it is smaller than the sum of its proper divisors (153066895982838).

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

131200011101322 is a wasteful number, since it uses less digits than its factorization.

131200011101322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547818 (or 5547815 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131200011101322 its reverse (223101110002131), we get a palindrome (354301121103453).

The spelling of 131200011101322 in words is "one hundred thirty-one trillion, two hundred billion, eleven million, one hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 2136991 3410819 4273982 6410973 6821638 10232457 12821946 19232919 20464914 30697371 38465838 61394742 7288889505629 14577779011258 21866668516887 43733337033774 65600005550661 131200011101322