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1000312020301 = 11307397746129
BaseRepresentation
bin11101000111001110011…
…11100001110101001101
310112121222110112200212111
432203213033201311031
5112342114334122201
62043311554104021
7132161443611136
oct16434717416515
93477873480774
101000312020301
1135625906a410
12141a4a57b011
1373437b14939
14365b5a68c8d
151b048d4bb51
hexe8e73e1d4d

1000312020301 has 16 divisors (see below), whose sum is σ = 1097563199040. Its totient is φ = 904128065280.

The previous prime is 1000312020283. The next prime is 1000312020317. The reversal of 1000312020301 is 1030202130001.

It is not a de Polignac number, because 1000312020301 - 229 = 999775149389 is a prime.

It is a super-2 number, since 2×10003120203012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000312020341) 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 15 ways as a sum of consecutive naturals, for example, 967605 + ... + 1713733.

It is an arithmetic number, because the mean of its divisors is an integer number (68597699940).

Almost surely, 21000312020301 is an apocalyptic number.

1000312020301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000312020301 is a deficient number, since it is larger than the sum of its proper divisors (97251178739).

1000312020301 is a wasteful number, since it uses less digits than its factorization.

1000312020301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746844.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1000312020301 its reverse (1030202130001), we get a palindrome (2030514150302).

The spelling of 1000312020301 in words is "one trillion, three hundred twelve million, twenty thousand, three hundred one".

Divisors: 1 11 307 397 3377 4367 121879 746129 1340669 8207419 229061603 296213213 2519677633 3258345343 90937456391 1000312020301