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131044412322243 = 3276122634574651
BaseRepresentation
bin11101110010111100100111…
…101001010111000111000011
3122011222201112102001102222200
4131302330213221113013003
5114134012424023302433
61142412545534404243
736413434462030530
oct3562744751270703
9564881472042880
10131044412322243
1138833694487172
1212845350660683
135817586a8bb34
142450824bb7d87
151023b74d66613
hex772f27a571c3

131044412322243 has 144 divisors (see below), whose sum is σ = 221298663725568. Its totient is φ = 73198582848000.

The previous prime is 131044412322179. The next prime is 131044412322277. The reversal of 131044412322243 is 342223214440131.

131044412322243 is a `hidden beast` number, since 1 + 3 + 10 + 4 + 4 + 412 + 3 + 2 + 224 + 3 = 666.

It is not a de Polignac number, because 131044412322243 - 26 = 131044412322179 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131044412322198 and 131044412322207.

It is not an unprimeable number, because it can be changed into a prime (131044412322643) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28175532468 + ... + 28175537118.

It is an arithmetic number, because the mean of its divisors is an integer number (1536796275872).

Almost surely, 2131044412322243 is an apocalyptic number.

131044412322243 is a deficient number, since it is larger than the sum of its proper divisors (90254251403325).

131044412322243 is a wasteful number, since it uses less digits than its factorization.

131044412322243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 131044412322243 its reverse (342223214440131), we get a palindrome (473267626762374).

The spelling of 131044412322243 in words is "one hundred thirty-one trillion, forty-four billion, four hundred twelve million, three hundred twenty-two thousand, two hundred forty-three".

Divisors: 1 3 7 9 21 61 63 183 263 427 457 549 789 1281 1371 1841 2367 3199 3721 3843 4113 4651 5523 9597 11163 13953 16043 16569 26047 27877 28791 32557 33489 41859 48129 78141 83631 97671 112301 120191 144387 195139 234423 250893 283711 293013 336903 360573 585417 841337 851133 978623 1010709 1081719 1223213 1700497 1756251 1985977 2125507 2524011 2553399 2935869 3669639 5101491 5957931 6376521 6850361 7331651 7572033 8562491 8807607 11008917 11903479 14878549 15304473 17306371 17873793 19129563 20551083 21994953 25687473 35710437 44635647 51321557 51919113 61653249 65984859 74615993 77062419 107131311 121144597 129655927 133906941 153964671 155757339 223847979 363433791 388967781 447230711 461894013 522311951 559008341 671543937 907591489 1090301373 1166903343 1341692133 1566935853 1677025023 2722774467 3130614977 3913058387 4025076399 4551575573 4700807559 5031075069 7909011547 8168323401 9391844931 11739175161 13654726719 23727034641 28175534793 31861029011 34099508801 35217525483 40964180157 55363080829 71181103923 95583087033 102298526403 166089242487 238696561607 286749261099 306895579209 498267727461 716089684821 2080070036861 2148269054463 6240210110583 14560490258027 18720630331749 43681470774081 131044412322243