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1023132123131 = 2935280418039
BaseRepresentation
bin11101110001101110110…
…11010011111111111011
310121210212211121000221012
432320313123103333323
5113230333310420011
62102004224104135
7133630111361156
oct16706733237773
93553784530835
101023132123131
113649a9457428
12146358a6504b
1375633837971
143773c6c8c9d
151b932473a8b
hexee376d3ffb

1023132123131 has 4 divisors (see below), whose sum is σ = 1058412541200. Its totient is φ = 987851705064.

The previous prime is 1023132123047. The next prime is 1023132123173. The reversal of 1023132123131 is 1313212313201.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1023132123131 is a prime.

It is a super-4 number, since 4×10231321231314 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1023132123097 and 1023132123106.

It is not an unprimeable number, because it can be changed into a prime (1023132123191) 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 in 3 ways as a sum of consecutive naturals, for example, 17640208991 + ... + 17640209048.

It is an arithmetic number, because the mean of its divisors is an integer number (264603135300).

Almost surely, 21023132123131 is an apocalyptic number.

1023132123131 is a deficient number, since it is larger than the sum of its proper divisors (35280418069).

1023132123131 is an equidigital number, since it uses as much as digits as its factorization.

1023132123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35280418068.

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

Adding to 1023132123131 its reverse (1313212313201), we get a palindrome (2336344436332).

The spelling of 1023132123131 in words is "one trillion, twenty-three billion, one hundred thirty-two million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 29 35280418039 1023132123131