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131130121200 = 24352138405777
BaseRepresentation
bin111101000011111110…
…1101101101111110000
3110112110200110100110120
41322013331231233300
54122023302334300
6140123525330240
712321345432231
oct1720775555760
9415420410416
10131130121200
11506805979a1
12214b7266980
13c49a0706c0
1464bd609088
1536271993a0
hex1e87f6dbf0

131130121200 has 120 divisors (see below), whose sum is σ = 452365348848. Its totient is φ = 32278179840.

The previous prime is 131130121189. The next prime is 131130121207. The reversal of 131130121200 is 2121031131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131130121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131130121207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4187289 + ... + 4218488.

Almost surely, 2131130121200 is an apocalyptic number.

131130121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131130121200 is an abundant number, since it is smaller than the sum of its proper divisors (321235227648).

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

131130121200 is a wasteful number, since it uses less digits than its factorization.

131130121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8405811 (or 8405800 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131130121200 its reverse (2121031131), we get a palindrome (133251152331).

The spelling of 131130121200 in words is "one hundred thirty-one billion, one hundred thirty million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 8405777 16811554 25217331 33623108 42028885 50434662 67246216 84057770 100869324 109275101 126086655 134492432 168115540 201738648 210144425 218550202 252173310 327825303 336231080 403477296 420288850 437100404 504346620 546375505 630433275 655650606 672462160 840577700 874200808 1008693240 1092751010 1260866550 1311301212 1639126515 1681155400 1748401616 2017386480 2185502020 2521733100 2622602424 2731877525 3278253030 3362310800 4371004040 5043466200 5245204848 5463755050 6556506060 8195632575 8742008080 10086932400 10927510100 13113012120 16391265150 21855020200 26226024240 32782530300 43710040400 65565060600 131130121200