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131011342020 = 223251355987753
BaseRepresentation
bin111101000000011100…
…0100110111011000100
3110112011101221202001200
41322000320212323010
54121302400421040
6140104043422500
712315404014236
oct1720070467304
9415141852050
10131011342020
115061a53a389
1221483524a30
13c47b583370
1464ab92a256
15361ba35630
hex1e80e26ec4

131011342020 has 72 divisors (see below), whose sum is σ = 427970391576. Its totient is φ = 32248945152.

The previous prime is 131011342019. The next prime is 131011342069. The reversal of 131011342020 is 20243110131.

131011342020 is a `hidden beast` number, since 1 + 310 + 11 + 342 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5197833216 + 125813508804 = 72096^2 + 354702^2 .

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 = 131011341984 and 131011342002.

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 23 ways as a sum of consecutive naturals, for example, 27991537 + ... + 27996216.

Almost surely, 2131011342020 is an apocalyptic number.

131011342020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131011342020 is an abundant number, since it is smaller than the sum of its proper divisors (296959049556).

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

131011342020 is a wasteful number, since it uses less digits than its factorization.

131011342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55987781 (or 55987776 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131011342020 its reverse (20243110131), we get a palindrome (151254452151).

The spelling of 131011342020 in words is "one hundred thirty-one billion, eleven million, three hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 55987753 111975506 167963259 223951012 279938765 335926518 503889777 559877530 671853036 727840789 839816295 1007779554 1119755060 1455681578 1679632590 2015559108 2183522367 2519448885 2911363156 3359265180 3639203945 4367044734 5038897770 6550567101 7278407890 8734089468 10077795540 10917611835 13101134202 14556815780 21835223670 26202268404 32752835505 43670447340 65505671010 131011342020