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131206223505126 = 23711312295521493
BaseRepresentation
bin11101110101010011010100…
…010110000010011011100110
3122012120012012022100012211010
4131311103110112002123212
5114144140321204131001
61143015150145523050
736431223350265360
oct3565232426023346
9565505168305733
10131206223505126
11388962796a1890
121287078a943486
1358299033328b3
1424585b5075d30
151027e9581a8d6
hex7754d45826e6

131206223505126 has 96 divisors (see below), whose sum is σ = 338057675760384. Its totient is φ = 32980198507200.

The previous prime is 131206223505121. The next prime is 131206223505127. The reversal of 131206223505126 is 621505322602131.

131206223505126 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131206223505121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147316765 + ... + 148204728.

It is an arithmetic number, because the mean of its divisors is an integer number (3521434122504).

Almost surely, 2131206223505126 is an apocalyptic number.

131206223505126 is an abundant number, since it is smaller than the sum of its proper divisors (206851452255258).

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

131206223505126 is a wasteful number, since it uses less digits than its factorization.

131206223505126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295521578 (or 295521547 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 131206223505126 in words is "one hundred thirty-one trillion, two hundred six billion, two hundred twenty-three million, five hundred five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 217 231 341 434 462 651 682 961 1023 1302 1922 2046 2387 2883 4774 5766 6727 7161 10571 13454 14322 20181 21142 31713 40362 63426 73997 147994 221991 443982 295521493 591042986 886564479 1773128958 2068650451 3250736423 4137300902 6205951353 6501472846 9161166283 9752209269 12411902706 18322332566 19504418538 22755154961 27483498849 45510309922 54966997698 64128163981 68265464883 100772829113 128256327962 136530929766 192384491943 201545658226 283996154773 302318487339 384768983886 567992309546 604636974678 705409803791 851988464319 1410819607582 1703976928638 1987973083411 2116229411373 3123957702503 3975946166822 4232458822746 5963919250233 6247915405006 9371873107509 11927838500466 18743746215018 21867703917521 43735407835042 65603111752563 131206223505126