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102003323133023 = 1321161751955751
BaseRepresentation
bin10111001100010101111111…
…110101110101110001011111
3111101011102101222020000202122
4113030111333311311301133
5101332210301210224043
61000535402454013155
730325332302620634
oct2714257765656137
9441142358200678
10102003323133023
112a557403761a94
12b534b166471bb
1344bbb44ccbb00
141b28db6b8018b
15bbd5193be368
hex5cc57fd75c5f

102003323133023 has 12 divisors (see below), whose sum is σ = 110462812592688. Its totient is φ = 94148806752000.

The previous prime is 102003323133001. The next prime is 102003323133029. The reversal of 102003323133023 is 320331323300201.

It is a happy number.

It is not a de Polignac number, because 102003323133023 - 26 = 102003323132959 is a prime.

It is a Duffinian number.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 102003323132983 and 102003323133001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003323133029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24014603 + ... + 27941148.

It is an arithmetic number, because the mean of its divisors is an integer number (9205234382724).

Almost surely, 2102003323133023 is an apocalyptic number.

102003323133023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102003323133023 is a deficient number, since it is larger than the sum of its proper divisors (8459489459665).

102003323133023 is a wasteful number, since it uses less digits than its factorization.

102003323133023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51967394 (or 51967381 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 102003323133023 its reverse (320331323300201), we get a palindrome (422334646433224).

The spelling of 102003323133023 in words is "one hundred two trillion, three billion, three hundred twenty-three million, one hundred thirty-three thousand, twenty-three".

Divisors: 1 13 169 11617 151021 1963273 51955751 675424763 8780521919 603569959367 7846409471771 102003323133023