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131201141201340 = 22357833763658669
BaseRepresentation
bin11101110101001110100101…
…011010100101100110111100
3122012112201002010002102200120
4131311032211122211212330
5114144044414121420330
61143012545554254540
736430653405361230
oct3565164532454674
9565481063072616
10131201141201340
113889410088a821
121286b7b0887450
1358292a3418152
1424582520ac5c0
151027c99557c10
hex7753a56a59bc

131201141201340 has 96 divisors (see below), whose sum is σ = 424902009208320. Its totient is φ = 29627521034496.

The previous prime is 131201141201243. The next prime is 131201141201341. The reversal of 131201141201340 is 43102141102131.

It is a self number, because there is not a number n which added to its sum of digits gives 131201141201340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201141201341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1881794475 + ... + 1881864194.

It is an arithmetic number, because the mean of its divisors is an integer number (4426062595920).

Almost surely, 2131201141201340 is an apocalyptic number.

131201141201340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201141201340 is an abundant number, since it is smaller than the sum of its proper divisors (293700868006980).

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

131201141201340 is a wasteful number, since it uses less digits than its factorization.

131201141201340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763658771 (or 3763658769 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131201141201340 its reverse (43102141102131), we get a palindrome (174303282303471).

The spelling of 131201141201340 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-one million, two hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 105 140 166 210 249 332 415 420 498 581 830 996 1162 1245 1660 1743 2324 2490 2905 3486 4980 5810 6972 8715 11620 17430 34860 3763658669 7527317338 11290976007 15054634676 18818293345 22581952014 26345610683 37636586690 45163904028 52691221366 56454880035 75273173380 79036832049 105382442732 112909760070 131728053415 158073664098 225819520140 263456106830 312383669527 316147328196 395184160245 526912213660 624767339054 790368320490 937151008581 1249534678108 1561918347635 1580736640980 1874302017162 2186685686689 3123836695270 3748604034324 4373371373378 4685755042905 6247673390540 6560057060067 8746742746756 9371510085810 10933428433445 13120114120134 18743020171620 21866856866890 26240228240268 32800285300335 43733713733780 65600570600670 131201141201340