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10245444243111 = 3372111016970387
BaseRepresentation
bin1001010100010111010000…
…0100001000111010100111
31100021110021121212200101000
42111011310010020322213
52320330132211234421
633442405255004343
72105131442111100
oct225056404107247
940243247780330
1010245444243111
1132a00831a4730
1211957766696b3
135941ab41b07c
14275c4c87d3a7
1512b792d08226
hex95174108ea7

10245444243111 has 96 divisors (see below), whose sum is σ = 19452401199360. Its totient is φ = 5269611816000.

The previous prime is 10245444243037. The next prime is 10245444243149. The reversal of 10245444243111 is 11134244454201.

10245444243111 is a `hidden beast` number, since 1 + 0 + 24 + 544 + 42 + 43 + 1 + 11 = 666.

It is not a de Polignac number, because 10245444243111 - 29 = 10245444242599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10245444244111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2015341 + ... + 4955046.

It is an arithmetic number, because the mean of its divisors is an integer number (202629179160).

Almost surely, 210245444243111 is an apocalyptic number.

10245444243111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10245444243111 is a deficient number, since it is larger than the sum of its proper divisors (9206956956249).

10245444243111 is a wasteful number, since it uses less digits than its factorization.

10245444243111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6970522 (or 6970509 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 10245444243111 its reverse (11134244454201), we get a palindrome (21379688697312).

The spelling of 10245444243111 in words is "ten trillion, two hundred forty-five billion, four hundred forty-four million, two hundred forty-three thousand, one hundred eleven".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 101 147 189 231 297 303 441 539 693 707 909 1111 1323 1617 2079 2121 2727 3333 4851 4949 6363 7777 9999 14553 14847 19089 23331 29997 44541 54439 69993 133623 163317 209979 489951 1469853 6970387 20911161 48792709 62733483 76674257 146378127 188200449 230022771 341548963 439134381 536719799 690068313 704009087 1024646889 1317403143 1610159397 2070204939 2112027261 3073940667 3757038593 4830478191 4928063609 6336081783 7744099957 9221822001 11271115779 14491434573 14784190827 19008245349 23232299871 33813347337 34496445263 44352572481 54208699699 69696899613 101440042011 103489335789 133057717443 162626099097 209090698839 310468007367 379460897893 487878297291 931404022101 1138382693679 1463634891873 3415148081037 10245444243111