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4020131300301 = 35101163799507
BaseRepresentation
bin111010100000000010011…
…111111000001111001101
3112020022122212021201100000
4322200002133320033031
51011331212103102201
612314453421354513
7563305413144534
oct72400237701715
915208585251300
104020131300301
11130aa23350536
1254b165a08a39
1323213475594c
14dc80ac4331b
156e88d50ed86
hex3a8027f83cd

4020131300301 has 24 divisors (see below), whose sum is σ = 6081548133024. Its totient is φ = 2653551997200.

The previous prime is 4020131300287. The next prime is 4020131300329. The reversal of 4020131300301 is 1030031310204.

4020131300301 is a `hidden beast` number, since 40 + 20 + 1 + 3 + 1 + 300 + 301 = 666.

4020131300301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4020131300301 - 210 = 4020131299277 is a prime.

It is a super-2 number, since 2×40201313003012 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020131300501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81875211 + ... + 81924296.

It is an arithmetic number, because the mean of its divisors is an integer number (253397838876).

Almost surely, 24020131300301 is an apocalyptic number.

It is an amenable number.

4020131300301 is a deficient number, since it is larger than the sum of its proper divisors (2061416832723).

4020131300301 is a wasteful number, since it uses less digits than its factorization.

4020131300301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163799623 (or 163799611 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 4020131300301 its reverse (1030031310204), we get a palindrome (5050162610505).

The spelling of 4020131300301 in words is "four trillion, twenty billion, one hundred thirty-one million, three hundred thousand, three hundred one".

Divisors: 1 3 9 27 81 101 243 303 909 2727 8181 24543 163799507 491398521 1474195563 4422586689 13267760067 16543750207 39803280201 49631250621 148893751863 446681255589 1340043766767 4020131300301