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107041296989 = 11535916371901
BaseRepresentation
bin110001110110000101…
…0001001001001011101
3101020021220002021212002
41203230022021021131
53223210033000424
6121101334252045
710506404004104
oct1435412111135
9336256067762
10107041296989
114143a026810
12188b3ab7025
13a12b544673
14527628b03b
152bb74aecae
hex18ec28925d

107041296989 has 32 divisors (see below), whose sum is σ = 121129706880. Its totient is φ = 93749344000.

The previous prime is 107041296983. The next prime is 107041297009. The reversal of 107041296989 is 989692140701.

It is a cyclic number.

It is not a de Polignac number, because 107041296989 - 212 = 107041292893 is a prime.

It is a super-2 number, since 2×1070412969892 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107041296983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56306939 + ... + 56308839.

It is an arithmetic number, because the mean of its divisors is an integer number (3785303340).

Almost surely, 2107041296989 is an apocalyptic number.

It is an amenable number.

107041296989 is a deficient number, since it is larger than the sum of its proper divisors (14088409891).

107041296989 is a wasteful number, since it uses less digits than its factorization.

107041296989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3661.

The product of its (nonzero) digits is 1959552, while the sum is 56.

The spelling of 107041296989 in words is "one hundred seven billion, forty-one million, two hundred ninety-six thousand, nine hundred eighty-nine".

Divisors: 1 11 53 59 583 649 1637 1901 3127 18007 20911 34397 86761 96583 100753 112159 954371 1062413 1108283 1233749 3111937 5118899 5944427 34231307 56307889 65388697 164932661 183604283 1814259271 2019647113 9731026999 107041296989