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102001123323131 is a prime number
BaseRepresentation
bin10111001100010011111100…
…101110001110110011111011
3111101011012201122220002220012
4113030103330232032303323
5101332141300032320011
61000534400312252135
730325223631553004
oct2714237456166373
9441135648802805
10102001123323131
112a556484a5228a
12b5346019a104b
1344bb884335b56
141b28c489521ab
15bbd43b1dda8b
hex5cc4fcb8ecfb

102001123323131 has 2 divisors, whose sum is σ = 102001123323132. Its totient is φ = 102001123323130.

The previous prime is 102001123323049. The next prime is 102001123323137. The reversal of 102001123323131 is 131323321100201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102001123323131 - 222 = 102001119128827 is a prime.

It is a super-2 number, since 2×1020011233231312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102001123323097 and 102001123323106.

It is not a weakly prime, because it can be changed into another prime (102001123323137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000561661565 + 51000561661566.

It is an arithmetic number, because the mean of its divisors is an integer number (51000561661566).

Almost surely, 2102001123323131 is an apocalyptic number.

102001123323131 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001123323131 is an equidigital number, since it uses as much as digits as its factorization.

102001123323131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 102001123323131 its reverse (131323321100201), we get a palindrome (233324444423332).

The spelling of 102001123323131 in words is "one hundred two trillion, one billion, one hundred twenty-three million, three hundred twenty-three thousand, one hundred thirty-one".