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4001323020101 = 115913745002677
BaseRepresentation
bin111010001110100001011…
…011111110111101000101
3112011112010002012002022122
4322032201123332331011
51011024202143120401
612302103222535325
7562041341331431
oct72164133767505
915145102162278
104001323020101
111302a51592210
12547596b97545
13230427c33674
14db944d339c1
156e13c1e621b
hex3a3a16fef45

4001323020101 has 16 divisors (see below), whose sum is σ = 4471466086080. Its totient is φ = 3549811082880.

The previous prime is 4001323020041. The next prime is 4001323020109. The reversal of 4001323020101 is 1010203231004.

4001323020101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4001323020101 is a prime.

It is a super-2 number, since 2×40013230201012 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4001323020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001323020109) 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, 22412426 + ... + 22590251.

It is an arithmetic number, because the mean of its divisors is an integer number (279466630380).

Almost surely, 24001323020101 is an apocalyptic number.

It is an amenable number.

4001323020101 is a deficient number, since it is larger than the sum of its proper divisors (470143065979).

4001323020101 is a wasteful number, since it uses less digits than its factorization.

4001323020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45002884.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 4001323020101 its reverse (1010203231004), we get a palindrome (5011526251105).

The spelling of 4001323020101 in words is "four trillion, one billion, three hundred twenty-three million, twenty thousand, one hundred one".

Divisors: 1 11 59 137 649 1507 8083 88913 45002677 495029447 2655157943 6165366749 29206737373 67819034239 363756638191 4001323020101