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131020301031300 = 22335297500268427
BaseRepresentation
bin11101110010100110001010…
…100000000101011110000100
3122011220102022001101221211000
4131302212022200011132010
5114133114034031000200
61142353521222013300
736411622125320622
oct3562461240053604
9564812261357730
10131020301031300
113882444127043a
1212840741877230
1358152136c7985
14244d5b888c512
1510232131e0300
hex77298a805784

131020301031300 has 144 divisors (see below), whose sum is σ = 425548335593920. Its totient is φ = 34578553605120.

The previous prime is 131020301031287. The next prime is 131020301031439. The reversal of 131020301031300 is 3130103020131.

It is a happy number.

131020301031300 is a `hidden beast` number, since 1 + 3 + 10 + 20 + 301 + 0 + 31 + 300 = 666.

131020301031300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249872314 + ... + 250396113.

Almost surely, 2131020301031300 is an apocalyptic number.

131020301031300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020301031300 is an abundant number, since it is smaller than the sum of its proper divisors (294528034562620).

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

131020301031300 is a wasteful number, since it uses less digits than its factorization.

131020301031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500268547 (or 500268534 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131020301031300 its reverse (3130103020131), we get a palindrome (134150404051431).

The spelling of 131020301031300 in words is "one hundred thirty-one trillion, twenty billion, three hundred one million, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 97 100 108 135 150 180 194 225 270 291 300 388 450 485 540 582 675 873 900 970 1164 1350 1455 1746 1940 2425 2619 2700 2910 3492 4365 4850 5238 5820 7275 8730 9700 10476 13095 14550 17460 21825 26190 29100 43650 52380 65475 87300 130950 261900 500268427 1000536854 1500805281 2001073708 2501342135 3001610562 4502415843 5002684270 6003221124 7504026405 9004831686 10005368540 12506710675 13507247529 15008052810 18009663372 22512079215 25013421350 27014495058 30016105620 37520132025 45024158430 48526037419 50026842700 54028990116 67536237645 75040264050 90048316860 97052074838 112560396075 135072475290 145578112257 150080528100 194104149676 225120792150 242630187095 270144950580 291156224514 337681188225 436734336771 450241584300 485260374190 582312449028 675362376450 727890561285 873468673542 970520748380 1213150935475 1310203010313 1350724752900 1455781122570 1746937347084 2183671683855 2426301870950 2620406020626 2911562245140 3639452806425 4367343367710 4852603741900 5240812041252 6551015051565 7278905612850 8734686735420 10918358419275 13102030103130 14557811225700 21836716838550 26204060206260 32755075257825 43673433677100 65510150515650 131020301031300