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1000223001301 = 97149257269281
BaseRepresentation
bin11101000111000011110…
…11111100101011010101
310112121202021001001202111
432203201323330223111
5112341424042020201
62043255054111021
7132156313142416
oct16434173745325
93477667031674
101000223001301
11356212899097
12141a247ab471
1373422547384
14365a7cd580d
151b041115b51
hexe8e1efcad5

1000223001301 has 16 divisors (see below), whose sum is σ = 1021278913200. Its totient is φ = 979438141440.

The previous prime is 1000223001257. The next prime is 1000223001331. The reversal of 1000223001301 is 1031003220001.

It can be written as a sum of positive squares in 8 ways, for example, as 132987126276 + 867235875025 = 364674^2 + 931255^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000223001301 - 213 = 1000222993109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000223001331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3579781 + ... + 3849061.

It is an arithmetic number, because the mean of its divisors is an integer number (63829932075).

Almost surely, 21000223001301 is an apocalyptic number.

It is an amenable number.

1000223001301 is a deficient number, since it is larger than the sum of its proper divisors (21055911899).

1000223001301 is a wasteful number, since it uses less digits than its factorization.

1000223001301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269784.

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

Adding to 1000223001301 its reverse (1031003220001), we get a palindrome (2031226221302).

The spelling of 1000223001301 in words is "one trillion, two hundred twenty-three million, one thousand, three hundred one".

Divisors: 1 97 149 257 14453 24929 38293 269281 3714421 26120257 40122869 69205217 3891918293 6712906049 10311577333 1000223001301