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131342224020441 = 371753193347103651
BaseRepresentation
bin11101110111010001111110…
…100110110101001111011001
3122020001012020102022012222220
4131313101332212311033121
5114203402333322123231
61143201441300534253
736444106515505440
oct3567217646651731
9566035212265886
10131342224020441
1138938a19413985
12128930050b1389
1358396984238b5
142460dd7445d57
15102b7a5369896
hex77747e9b53d9

131342224020441 has 128 divisors (see below), whose sum is σ = 217658134941696. Its totient is φ = 68746597171200.

The previous prime is 131342224020419. The next prime is 131342224020463. The reversal of 131342224020441 is 144020422243131.

It is an interprime number because it is at equal distance from previous prime (131342224020419) and next prime (131342224020463).

It is not a de Polignac number, because 131342224020441 - 25 = 131342224020409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131342224020641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1267106466 + ... + 1267210116.

It is an arithmetic number, because the mean of its divisors is an integer number (1700454179232).

Almost surely, 2131342224020441 is an apocalyptic number.

It is an amenable number.

131342224020441 is a deficient number, since it is larger than the sum of its proper divisors (86315910921255).

131342224020441 is a wasteful number, since it uses less digits than its factorization.

131342224020441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104271.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 131342224020441 its reverse (144020422243131), we get a palindrome (275362646263572).

The spelling of 131342224020441 in words is "one hundred thirty-one trillion, three hundred forty-two billion, two hundred twenty-four million, twenty thousand, four hundred forty-one".

Divisors: 1 3 7 17 21 51 53 119 159 193 347 357 371 579 901 1041 1113 1351 2429 2703 3281 4053 5899 6307 7287 9843 10229 17697 18391 18921 22967 30687 41293 55173 66971 68901 71603 103651 123879 128737 173893 200913 214809 310953 312647 386211 468797 521679 725557 937941 1138507 1217251 1406391 1762067 2176671 2188529 3415521 3549463 3651753 5286201 5493503 6565587 7969549 10648389 12334469 16480509 20004643 23908647 24846241 35966897 37003407 38454521 60013929 60340871 74538723 93389551 107900691 115363563 140032501 181022613 251768279 280168653 340078931 420097503 422386097 611437249 653726857 755304837 1020236793 1060246079 1267158291 1834311747 1906245541 1961180571 2380552517 3180738237 4280060743 5718736623 6941611121 7141657551 7421722553 12840182229 13343718787 18024183343 20824833363 22265167659 32406174197 40031156361 48591277847 54072550029 97218522591 118007389057 126169283401 145773833541 226843219379 354022167171 367905389413 378507850203 680529658137 826051723399 1103716168239 2478155170197 2575337725891 6254391620021 7726013177673 18763174860063 43780741340147 131342224020441