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107111110824 = 23321487654317
BaseRepresentation
bin110001111000001010…
…0011101100010101000
3101020110202110012102200
41203300110131202220
53223330421021244
6121112310500200
710511212264014
oct1436024354250
9336422405380
10107111110824
114147547a9a3
1218913364660
13a13cb49523
145281661544
152bbd6a0669
hex18f051d8a8

107111110824 has 24 divisors (see below), whose sum is σ = 290092592010. Its totient is φ = 35703703584.

The previous prime is 107111110817. The next prime is 107111110829. The reversal of 107111110824 is 428011111701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 73214618724 + 33896492100 = 270582^2 + 184110^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1071111108242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107111110829) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 743827087 + ... + 743827230.

Almost surely, 2107111110824 is an apocalyptic number.

It is an amenable number.

107111110824 is an abundant number, since it is smaller than the sum of its proper divisors (182981481186).

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

107111110824 is a wasteful number, since it uses less digits than its factorization.

107111110824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487654329 (or 1487654322 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 27.

The spelling of 107111110824 in words is "one hundred seven billion, one hundred eleven million, one hundred ten thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1487654317 2975308634 4462962951 5950617268 8925925902 11901234536 13388888853 17851851804 26777777706 35703703608 53555555412 107111110824