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102000010333 = 132603550357
BaseRepresentation
bin101111011111110101…
…1001010010001011101
3100202021120000101122111
41132333223022101131
53132344000312313
6114505210114021
710240440532264
oct1367753122135
9322246011574
10102000010333
113a29238a501
121792771b911
139806c8b700
144d1891d5db
1529beb0043d
hex17bfaca45d

102000010333 has 6 divisors (see below), whose sum is σ = 110449715514. Its totient is φ = 94153855536.

The previous prime is 102000010331. The next prime is 102000010391. The reversal of 102000010333 is 333010000201.

It can be written as a sum of positive squares in 3 ways, for example, as 14362104964 + 87637905369 = 119842^2 + 296037^2 .

It is not a de Polignac number, because 102000010333 - 21 = 102000010331 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000010331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 301775010 + ... + 301775347.

It is an arithmetic number, because the mean of its divisors is an integer number (18408285919).

Almost surely, 2102000010333 is an apocalyptic number.

102000010333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102000010333 is a deficient number, since it is larger than the sum of its proper divisors (8449705181).

102000010333 is an equidigital number, since it uses as much as digits as its factorization.

102000010333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603550383 (or 603550370 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 102000010333 its reverse (333010000201), we get a palindrome (435010010534).

The spelling of 102000010333 in words is "one hundred two billion, ten thousand, three hundred thirty-three".

Divisors: 1 13 169 603550357 7846154641 102000010333