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1000230212331 = 32730509520393
BaseRepresentation
bin11101000111000100101…
…11011101001011101011
310112121202202121102102200
432203202113131023223
5112341432413243311
62043255512431243
7132156431345010
oct16434227351353
93477682542380
101000230212331
11356216973919
12141a270a8523
1373423ba065c
14365a8c51707
151b041a8c556
hexe8e25dd2eb

1000230212331 has 24 divisors (see below), whose sum is σ = 1651230977760. Its totient is φ = 571540288896.

The previous prime is 1000230212269. The next prime is 1000230212381. The reversal of 1000230212331 is 1332120320001.

1000230212331 is a `hidden beast` number, since 100 + 0 + 23 + 0 + 212 + 331 = 666.

It is not a de Polignac number, because 1000230212331 - 27 = 1000230212203 is a prime.

It is a super-2 number, since 2×10002302123312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000230212381) 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 23 ways as a sum of consecutive naturals, for example, 1661871 + ... + 2182263.

It is an arithmetic number, because the mean of its divisors is an integer number (68801290740).

Almost surely, 21000230212331 is an apocalyptic number.

1000230212331 is a deficient number, since it is larger than the sum of its proper divisors (651000765429).

1000230212331 is a wasteful number, since it uses less digits than its factorization.

1000230212331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550915 (or 550912 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1000230212331 its reverse (1332120320001), we get a palindrome (2332350532332).

The spelling of 1000230212331 in words is "one trillion, two hundred thirty million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 30509 91527 213563 274581 520393 640689 1561179 1922067 3642751 4683537 10928253 32784759 15876670037 47630010111 111136690259 142890030333 333410070777 1000230212331