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131221240044003 = 322371173307168109
BaseRepresentation
bin11101110101100001010011…
…011001100101100111100011
3122012121121221211121102120200
4131311201103121211213203
5114144412044422402003
61143030112214240243
736432264440620164
oct3565412331454743
9565547854542520
10131221240044003
11388a168508a79a
121287367b956083
13582b15741c865
1424591db56376b
151028573cea6a3
hex7758536659e3

131221240044003 has 96 divisors (see below), whose sum is σ = 202386063559680. Its totient is φ = 81754228765440.

The previous prime is 131221240044001. The next prime is 131221240044029. The reversal of 131221240044003 is 300440042122131.

131221240044003 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 212 + 4 + 0 + 0 + 440 + 0 + 3 = 666.

It is not a de Polignac number, because 131221240044003 - 21 = 131221240044001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131221240044001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 780488313 + ... + 780656421.

It is an arithmetic number, because the mean of its divisors is an integer number (2108188162080).

Almost surely, 2131221240044003 is an apocalyptic number.

131221240044003 is a deficient number, since it is larger than the sum of its proper divisors (71164823515677).

131221240044003 is a wasteful number, since it uses less digits than its factorization.

131221240044003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168689 (or 168686 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 131221240044003 its reverse (300440042122131), we get a palindrome (431661282166134).

The spelling of 131221240044003 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, two hundred forty million, forty-four thousand, three".

Divisors: 1 3 9 23 69 71 173 207 213 307 519 639 921 1557 1633 2763 3979 4899 7061 11937 12283 14697 21183 21797 35811 36849 53111 63549 65391 110547 159333 168109 196173 282509 477999 501331 504327 847527 1221553 1503993 1512981 2542581 3664659 3770881 3866507 4511979 10993977 11312643 11599521 11935739 29082857 33937929 34798563 35807217 51609463 86730263 87248571 107421651 154828389 260190789 261745713 274521997 464485167 668905711 780572367 823565991 1187017649 2006717133 2064882847 2470697973 3561052947 3664271873 6020151399 6194648541 8928437099 10683158841 10992815619 18583945623 26785311297 32978446857 47492305481 80355933891 84278253079 142476916443 205354053277 252834759237 427430749329 616062159831 633919034029 758504277711 1848186479493 1901757102087 5705271306261 14580137782667 43740413348001 131221240044003