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101233312331 is a prime number
BaseRepresentation
bin101111001000111111…
…0011100001001001011
3100200022010100002201012
41132101332130021023
53124311211443311
6114301141114135
710212440646164
oct1362176341113
9320263302635
10101233312331
1139a29624998
12177529b894b
139714198758
144c84b8276b
15297765578b
hex1791f9c24b

101233312331 has 2 divisors, whose sum is σ = 101233312332. Its totient is φ = 101233312330.

The previous prime is 101233312261. The next prime is 101233312399. The reversal of 101233312331 is 133213332101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101233312331 is a prime.

It is a super-2 number, since 2×1012333123312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101233312297 and 101233312306.

It is not a weakly prime, because it can be changed into another prime (101233317331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50616656165 + 50616656166.

It is an arithmetic number, because the mean of its divisors is an integer number (50616656166).

Almost surely, 2101233312331 is an apocalyptic number.

101233312331 is a deficient number, since it is larger than the sum of its proper divisors (1).

101233312331 is an equidigital number, since it uses as much as digits as its factorization.

101233312331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 101233312331 its reverse (133213332101), we get a palindrome (234446644432).

The spelling of 101233312331 in words is "one hundred one billion, two hundred thirty-three million, three hundred twelve thousand, three hundred thirty-one".