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143131344129 = 32126011262081
BaseRepresentation
bin1000010101001101001…
…0101111110100000001
3111200110001212122100200
42011103102233310001
54321113111003004
6145430441235413
713224633231324
oct2052322576401
9450401778320
10143131344129
1155779a04354
12238a6492b69
1310660542a47
146cdb4647bb
153acaaac239
hex21534afd01

143131344129 has 12 divisors (see below), whose sum is σ = 206761845732. Its totient is φ = 95413248000.

The previous prime is 143131344101. The next prime is 143131344131. The reversal of 143131344129 is 921443131341.

It can be written as a sum of positive squares in 2 ways, for example, as 78436404225 + 64694939904 = 280065^2 + 254352^2 .

It is not a de Polignac number, because 143131344129 - 227 = 142997126401 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 143131344093 and 143131344102.

It is not an unprimeable number, because it can be changed into a prime (143131344199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517632 + ... + 744449.

It is an arithmetic number, because the mean of its divisors is an integer number (17230153811).

Almost surely, 2143131344129 is an apocalyptic number.

It is an amenable number.

143131344129 is a deficient number, since it is larger than the sum of its proper divisors (63630501603).

143131344129 is a wasteful number, since it uses less digits than its factorization.

143131344129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274688 (or 1274685 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 143131344129 in words is "one hundred forty-three billion, one hundred thirty-one million, three hundred forty-four thousand, one hundred twenty-nine".

Divisors: 1 3 9 12601 37803 113409 1262081 3786243 11358729 15903482681 47710448043 143131344129