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107134414299 = 321123179262853
BaseRepresentation
bin110001111000110110…
…1010110110111011011
3101020112101022010210100
41203301231112313123
53223402402224144
6121114502150443
710511614332123
oct1436155266733
9336471263710
10107134414299
1141487647170
121891b122423
13a144918473
1452847a9c83
152bc0755269
hex18f1b56ddb

107134414299 has 48 divisors (see below), whose sum is σ = 177142567680. Its totient is φ = 61759705920.

The previous prime is 107134414297. The next prime is 107134414351. The reversal of 107134414299 is 992414431701.

107134414299 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 344 + 14 + 299 = 666.

It is not a de Polignac number, because 107134414299 - 21 = 107134414297 is a prime.

It is a super-2 number, since 2×1071344142992 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107134414291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276157 + ... + 539009.

It is an arithmetic number, because the mean of its divisors is an integer number (3690470160).

Almost surely, 2107134414299 is an apocalyptic number.

107134414299 is a deficient number, since it is larger than the sum of its proper divisors (70008153381).

107134414299 is a wasteful number, since it uses less digits than its factorization.

107134414299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263072 (or 263069 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 107134414299 in words is "one hundred seven billion, one hundred thirty-four million, four hundred fourteen thousand, two hundred ninety-nine".

Divisors: 1 3 9 11 23 33 69 99 179 207 253 537 759 1611 1969 2277 4117 5907 12351 17721 37053 45287 135861 262853 407583 788559 2365677 2891383 6045619 8674149 18136857 26022447 47050687 54410571 66501809 141152061 199505427 423456183 517557557 598516281 1082165801 1552672671 3246497403 4658018013 9739492209 11903823811 35711471433 107134414299