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105001233131 is a prime number
BaseRepresentation
bin110000111001010001…
…1111010101011101011
3101001000201100022100102
41201302203322223223
53210020303430011
6120123100500015
710405012520054
oct1416243725353
9331021308312
10105001233131
1140592505623
121842484a60b
139b949b06a2
14512136372b
152ae833673b
hex18728faaeb

105001233131 has 2 divisors, whose sum is σ = 105001233132. Its totient is φ = 105001233130.

The previous prime is 105001233121. The next prime is 105001233137. The reversal of 105001233131 is 131332100501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105001233131 - 26 = 105001233067 is a prime.

It is a super-2 number, since 2×1050012331312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105001233137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500616565 + 52500616566.

It is an arithmetic number, because the mean of its divisors is an integer number (52500616566).

Almost surely, 2105001233131 is an apocalyptic number.

105001233131 is a deficient number, since it is larger than the sum of its proper divisors (1).

105001233131 is an equidigital number, since it uses as much as digits as its factorization.

105001233131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 105001233131 its reverse (131332100501), we get a palindrome (236333333632).

The spelling of 105001233131 in words is "one hundred five billion, one million, two hundred thirty-three thousand, one hundred thirty-one".