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123111132111131 = 1193194175314651
BaseRepresentation
bin11011111111100000001011…
…010011000010000100011011
3121010220022100110201111021112
4123333200023103002010123
5112114023044310024011
61113500250123130535
734634325422615243
oct3377401323020433
9533808313644245
10123111132111131
113625515763792a
1211983919073a4b
135390439b6b2c8
142258879646b23
15e3760a56c58b
hex6ff80b4c211b

123111132111131 has 8 divisors (see below), whose sum is σ = 123220695567984. Its totient is φ = 123001579324800.

The previous prime is 123111132111109. The next prime is 123111132111167. The reversal of 123111132111131 is 131111231111321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123111132111131 is a prime.

It is a super-2 number, since 2×1231111321111312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123111132111097 and 123111132111106.

It is not an unprimeable number, because it can be changed into a prime (123111132111031) 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 7 ways as a sum of consecutive naturals, for example, 20507156 + ... + 25821806.

It is an arithmetic number, because the mean of its divisors is an integer number (15402586945998).

Almost surely, 2123111132111131 is an apocalyptic number.

123111132111131 is a deficient number, since it is larger than the sum of its proper divisors (109563456853).

123111132111131 is a wasteful number, since it uses less digits than its factorization.

123111132111131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335261.

The product of its digits is 108, while the sum is 23.

Adding to 123111132111131 its reverse (131111231111321), we get a palindrome (254222363222452).

The spelling of 123111132111131 in words is "one hundred twenty-three trillion, one hundred eleven billion, one hundred thirty-two million, one hundred eleven thousand, one hundred thirty-one".

Divisors: 1 1193 19417 5314651 23164481 6340378643 103194578467 123111132111131