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42400323101 = 179725712749
BaseRepresentation
bin100111011111010000…
…011001011000011101
311001102221200120210002
4213133100121120131
51143313440314401
631251202024045
73030501541223
oct473720313035
9131387616702
1042400323101
1116a88971344
128273948025
133cc94522a6
1420a32b2b13
1511825c3a6b
hex9df41961d

42400323101 has 8 divisors (see below), whose sum is σ = 45357291000. Its totient is φ = 39494780928.

The previous prime is 42400323073. The next prime is 42400323109. The reversal of 42400323101 is 10132300424.

It can be written as a sum of positive squares in 4 ways, for example, as 21941311876 + 20459011225 = 148126^2 + 143035^2 .

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 42400323101 - 218 = 42400060957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42400323109) 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, 12854726 + ... + 12858023.

It is an arithmetic number, because the mean of its divisors is an integer number (5669661375).

Almost surely, 242400323101 is an apocalyptic number.

It is an amenable number.

42400323101 is a deficient number, since it is larger than the sum of its proper divisors (2956967899).

42400323101 is a wasteful number, since it uses less digits than its factorization.

42400323101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25712863.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 42400323101 its reverse (10132300424), we get a palindrome (52532623525).

It can be divided in two parts, 42400323 and 101, that added together give a palindrome (42400424).

The spelling of 42400323101 in words is "forty-two billion, four hundred million, three hundred twenty-three thousand, one hundred one".

Divisors: 1 17 97 1649 25712749 437116733 2494136653 42400323101