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42104142301 = 1317613123221
BaseRepresentation
bin100111001101100110…
…100011100111011101
311000200022101001002211
4213031212203213131
51142212130023201
631201541520421
73020244206314
oct471546434735
9130608331084
1042104142301
1116946766321
1281b0713111
133c7cc90990
142075c1527b
1511665bb651
hex9cd9a39dd

42104142301 has 16 divisors (see below), whose sum is σ = 48797220528. Its totient is φ = 35979494400.

The previous prime is 42104142293. The next prime is 42104142323. The reversal of 42104142301 is 10324140124.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1103967076 + 41000175225 = 33226^2 + 202485^2 .

It is a cyclic number.

It is not a de Polignac number, because 42104142301 - 23 = 42104142293 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 (42104142701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548130 + ... + 1575091.

It is an arithmetic number, because the mean of its divisors is an integer number (3049826283).

Almost surely, 242104142301 is an apocalyptic number.

It is an amenable number.

42104142301 is a deficient number, since it is larger than the sum of its proper divisors (6693078227).

42104142301 is a wasteful number, since it uses less digits than its factorization.

42104142301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123312.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 42104142301 its reverse (10324140124), we get a palindrome (52428282425).

The spelling of 42104142301 in words is "forty-two billion, one hundred four million, one hundred forty-two thousand, three hundred one".

Divisors: 1 13 17 61 221 793 1037 13481 3123221 40601873 53094757 190516481 690231841 2476714253 3238780177 42104142301