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131201142321340 = 225713541913302923
BaseRepresentation
bin11101110101001110100101…
…011110110111000010111100
3122012112201002012012100001001
4131311032211132313002330
5114144044414413240330
61143012550034300044
736430653421034440
oct3565164536670274
9565481065170031
10131201142321340
1138894101485243
121286b7b1127624
1358292a371ab80
1424582522c0820
151027c996c99ca
hex7753a57b70bc

131201142321340 has 96 divisors (see below), whose sum is σ = 339167093368320. Its totient is φ = 41515333284096.

The previous prime is 131201142321331. The next prime is 131201142321397. The reversal of 131201142321340 is 43123241102131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 131201142321299 and 131201142321308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3211119 + ... + 16514041.

It is an arithmetic number, because the mean of its divisors is an integer number (3532990555920).

Almost surely, 2131201142321340 is an apocalyptic number.

131201142321340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201142321340 is an abundant number, since it is smaller than the sum of its proper divisors (207965951046980).

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

131201142321340 is a wasteful number, since it uses less digits than its factorization.

131201142321340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13308371 (or 13308369 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 131201142321340 its reverse (43123241102131), we get a palindrome (174324383423471).

The spelling of 131201142321340 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-two million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 5419 10838 21676 27095 37933 54190 70447 75866 108380 140894 151732 189665 281788 352235 379330 493129 704470 758660 986258 1408940 1972516 2465645 4931290 9862580 13302923 26605846 53211692 66514615 93120461 133029230 172937999 186240922 266058460 345875998 372481844 465602305 691751996 864689995 931204610 1210565993 1729379990 1862409220 2421131986 3458759980 4842263972 6052829965 12105659930 24211319860 72088539737 144177079474 288354158948 360442698685 504619778159 720885397370 937151016581 1009239556318 1441770794740 1874302033162 2018479112636 2523098890795 3748604066324 4685755082905 5046197781590 6560057116067 9371510165810 10092395563180 13120114232134 18743020331620 26240228464268 32800285580335 65600571160670 131201142321340