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102200320033 = 727331284507
BaseRepresentation
bin101111100101110011…
…1010010000000100001
3100202210111221011220021
41133023213102000201
53133301240220113
6114541123313441
710245422246500
oct1371347220041
9322714834807
10102200320033
113a385464109
121798281b881
139839623966
144d37382837
1529d24bb48d
hex17cb9d2021

102200320033 has 12 divisors (see below), whose sum is σ = 118902721392. Its totient is φ = 87588017160.

The previous prime is 102200319943. The next prime is 102200320049. The reversal of 102200320033 is 330023002201.

It is not a de Polignac number, because 102200320033 - 233 = 93610385441 is a prime.

It is a super-2 number, since 2×1022003200332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102200319989 and 102200320016.

It is not an unprimeable number, because it can be changed into a prime (102200320073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216966 + ... + 501472.

It is an arithmetic number, because the mean of its divisors is an integer number (9908560116).

Almost surely, 2102200320033 is an apocalyptic number.

It is an amenable number.

102200320033 is a deficient number, since it is larger than the sum of its proper divisors (16702401359).

102200320033 is an equidigital number, since it uses as much as digits as its factorization.

102200320033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291852 (or 291845 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 102200320033 its reverse (330023002201), we get a palindrome (432223322234).

The spelling of 102200320033 in words is "one hundred two billion, two hundred million, three hundred twenty thousand, thirty-three".

Divisors: 1 7 49 7331 51317 284507 359219 1991549 13940843 2085720817 14600045719 102200320033