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131201130310020 = 223256591106062471
BaseRepresentation
bin11101110101001110100100…
…110001000010100110000100
3122012112201001100121002121100
4131311032210301002212010
5114144044403324410040
61143012544525020100
736430653213660141
oct3565164461024604
9565481040532540
10131201130310020
11388940a5720a31
121286b7a90b4630
1358292a10a3994
1424582508753c8
151027c98605b30
hex7753a4c42984

131201130310020 has 72 divisors (see below), whose sum is σ = 398580672409920. Its totient is φ = 34933877052480.

The previous prime is 131201130310009. The next prime is 131201130310037. The reversal of 131201130310020 is 20013031102131.

131201130310020 is a `hidden beast` number, since 1 + 3 + 1 + 201 + 130 + 310 + 0 + 20 = 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 = 131201130309975 and 131201130310002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552912616 + ... + 553149855.

It is an arithmetic number, because the mean of its divisors is an integer number (5535842672360).

Almost surely, 2131201130310020 is an apocalyptic number.

131201130310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201130310020 is an abundant number, since it is smaller than the sum of its proper divisors (267379542099900).

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

131201130310020 is a wasteful number, since it uses less digits than its factorization.

131201130310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106063145 (or 1106063140 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131201130310020 its reverse (20013031102131), we get a palindrome (151214161412151).

The spelling of 131201130310020 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred thirty million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 659 1318 1977 2636 3295 3954 5931 6590 7908 9885 11862 13180 19770 23724 29655 39540 59310 118620 1106062471 2212124942 3318187413 4424249884 5530312355 6636374826 9954562239 11060624710 13272749652 16590937065 19909124478 22121249420 33181874130 39818248956 49772811195 66363748260 99545622390 199091244780 728895168389 1457790336778 2186685505167 2915580673556 3644475841945 4373371010334 6560056515501 7288951683890 8746742020668 10933427525835 13120113031002 14577903367780 21866855051670 26240226062004 32800282577505 43733710103340 65600565155010 131201130310020