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42123403321 = 292411221641
BaseRepresentation
bin100111001110110000…
…000010000000111001
311000201122121121020221
4213032300002000321
51142232042401241
631203510420041
73020600010016
oct471660020071
9130648547227
1042123403321
111695662141a
1281b7061621
133c83c7592c
1420785ca70d
1511681235d1
hex9cec02039

42123403321 has 12 divisors (see below), whose sum is σ = 44690107644. Its totient is φ = 39678867200.

The previous prime is 42123403249. The next prime is 42123403349. The reversal of 42123403321 is 12330432124.

It can be written as a sum of positive squares in 6 ways, for example, as 13371453225 + 28751950096 = 115635^2 + 169564^2 .

It is not a de Polignac number, because 42123403321 - 27 = 42123403193 is a prime.

It is a super-2 number, since 2×421234033212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42123403391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 576340 + ... + 645301.

It is an arithmetic number, because the mean of its divisors is an integer number (3724175637).

Almost surely, 242123403321 is an apocalyptic number.

42123403321 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42123403321 is a deficient number, since it is larger than the sum of its proper divisors (2566704323).

42123403321 is a wasteful number, since it uses less digits than its factorization.

42123403321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221740 (or 1221711 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 42123403321 its reverse (12330432124), we get a palindrome (54453835445).

The spelling of 42123403321 in words is "forty-two billion, one hundred twenty-three million, four hundred three thousand, three hundred twenty-one".

Divisors: 1 29 41 841 1189 34481 1221641 35427589 50087281 1027400081 1452531149 42123403321