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102033313333 = 7273111725537
BaseRepresentation
bin101111100000110101…
…0001100111000110101
3100202100212200100202221
41133001222030320311
53132431012011313
6114512400002341
710241323565500
oct1370152147065
9322325610687
10102033313333
113a2aa166546
12179369003b1
139810b4bc23
144d1d10c137
1529c29ccc8d
hex17c1a8ce35

102033313333 has 24 divisors (see below), whose sum is σ = 120430159512. Its totient is φ = 86178484224.

The previous prime is 102033313321. The next prime is 102033313337. The reversal of 102033313333 is 333313330201.

It can be written as a sum of positive squares in 4 ways, for example, as 17911271889 + 84122041444 = 133833^2 + 290038^2 .

It is not a de Polignac number, because 102033313333 - 25 = 102033313301 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102033313298 and 102033313307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102033313337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3982741 + ... + 4008277.

It is an arithmetic number, because the mean of its divisors is an integer number (5017923313).

Almost surely, 2102033313333 is an apocalyptic number.

It is an amenable number.

102033313333 is a deficient number, since it is larger than the sum of its proper divisors (18396846179).

102033313333 is a wasteful number, since it uses less digits than its factorization.

102033313333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26741 (or 26734 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 25.

Adding to 102033313333 its reverse (333313330201), we get a palindrome (435346643534).

The spelling of 102033313333 in words is "one hundred two billion, thirty-three million, three hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 7 49 73 511 1117 3577 7819 25537 54733 81541 178759 570787 1251313 1864201 3995509 13049407 28524829 91345849 199673803 1397716621 2082312517 14576187619 102033313333