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101403430441 = 1741145485553
BaseRepresentation
bin101111001110000011…
…1011000111000101001
3100200201222102222212221
41132130013120320221
53130133234233231
6114330055234041
710216604636305
oct1363407307051
9320658388787
10101403430441
113a006658175
121779b978921
1397404bc761
144c9d5c6d05
15298755ad11
hex179c1d8e29

101403430441 has 8 divisors (see below), whose sum is σ = 109987078824. Its totient is φ = 93110753280.

The previous prime is 101403430439. The next prime is 101403430451. The reversal of 101403430441 is 144034304101.

It can be written as a sum of positive squares in 4 ways, for example, as 98089216 + 101305341225 = 9904^2 + 318285^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101403430441 - 21 = 101403430439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101403430421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72742080 + ... + 72743473.

It is an arithmetic number, because the mean of its divisors is an integer number (13748384853).

Almost surely, 2101403430441 is an apocalyptic number.

It is an amenable number.

101403430441 is a deficient number, since it is larger than the sum of its proper divisors (8583648383).

101403430441 is a wasteful number, since it uses less digits than its factorization.

101403430441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145485611.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 101403430441 its reverse (144034304101), we get a palindrome (245437734542).

The spelling of 101403430441 in words is "one hundred one billion, four hundred three million, four hundred thirty thousand, four hundred forty-one".

Divisors: 1 17 41 697 145485553 2473254401 5964907673 101403430441