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30431142001 = 1321091651981
BaseRepresentation
bin11100010101110101…
…100110000001110001
32220112210120012000101
4130111311212001301
5444310333021001
621551352552401
72125053303421
oct342565460161
986483505011
1030431142001
11119a664a437
125a933b2701
132b3c7bb400
1416897d8481
15bd18dea01
hex715d66071

30431142001 has 12 divisors (see below), whose sum is σ = 33254397660. Its totient is φ = 27832559040.

The previous prime is 30431141977. The next prime is 30431142031. The reversal of 30431142001 is 10024113403.

It can be written as a sum of positive squares in 6 ways, for example, as 4329508401 + 26101633600 = 65799^2 + 161560^2 .

It is not a de Polignac number, because 30431142001 - 219 = 30430617713 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30431142001.

It is not an unprimeable number, because it can be changed into a prime (30431142031) 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, 807570 + ... + 844411.

It is an arithmetic number, because the mean of its divisors is an integer number (2771199805).

Almost surely, 230431142001 is an apocalyptic number.

It is an amenable number.

30431142001 is a deficient number, since it is larger than the sum of its proper divisors (2823255659).

30431142001 is a wasteful number, since it uses less digits than its factorization.

30431142001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652116 (or 1652103 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 30431142001 its reverse (10024113403), we get a palindrome (40455255404).

The spelling of 30431142001 in words is "thirty billion, four hundred thirty-one million, one hundred forty-two thousand, one".

Divisors: 1 13 109 169 1417 18421 1651981 21475753 180065929 279184789 2340857077 30431142001