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30112131002000 = 245393716068373
BaseRepresentation
bin1101101100011000001101…
…10111110010111010010000
310221121200200011221212001012
412312030012313302322100
512421324121014031000
6144013153315430052
76225346451234405
oct666140667627220
9127550604855035
1030112131002000
11965a534a24543
123463b238b5328
1313a573c290088
147616135aa2ac
1537344400e735
hex1b6306df2e90

30112131002000 has 80 divisors (see below), whose sum is σ = 72888843950832. Its totient is φ = 12031996953600.

The previous prime is 30112131001993. The next prime is 30112131002003. The reversal of 30112131002000 is 20013121103.

It can be written as a sum of positive squares in 8 ways, for example, as 26897583218944 + 3214547783056 = 5186288^2 + 1792916^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (30112131002003) 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, 6160187 + ... + 9908186.

Almost surely, 230112131002000 is an apocalyptic number.

It is an amenable number.

30112131002000 is an abundant number, since it is smaller than the sum of its proper divisors (42776712948832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30112131002000 is a wasteful number, since it uses less digits than its factorization.

30112131002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16069333 (or 16069317 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 30112131002000 its reverse (20013121103), we get a palindrome (30132144123103).

The spelling of 30112131002000 in words is "thirty trillion, one hundred twelve billion, one hundred thirty-one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 937 1000 1874 2000 3748 4685 7496 9370 14992 18740 23425 37480 46850 74960 93700 117125 187400 234250 374800 468500 937000 1874000 16068373 32136746 64273492 80341865 128546984 160683730 257093968 321367460 401709325 642734920 803418650 1285469840 1606837300 2008546625 3213674600 4017093250 6427349200 8034186500 15056065501 16068373000 30112131002 32136746000 60224262004 75280327505 120448524008 150560655010 240897048016 301121310020 376401637525 602242620040 752803275050 1204485240080 1505606550100 1882008187625 3011213100200 3764016375250 6022426200400 7528032750500 15056065501000 30112131002000