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2442031410031 = 192310195483977
BaseRepresentation
bin100011100010010100011…
…010100010101101101111
322122110022100221002010221
4203202110122202231233
5310002240020110111
65105504224112211
7341300546332063
oct43422432425557
98573270832127
102442031410031
11861729081694
12335347465667
13149389a79025
14862a2d33aa3
15437c98c7371
hex238946a2b6f

2442031410031 has 16 divisors (see below), whose sum is σ = 2684955628800. Its totient is φ = 2210744276928.

The previous prime is 2442031410001. The next prime is 2442031410061. The reversal of 2442031410031 is 1300141302442.

2442031410031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2442031410001) and next prime (2442031410061).

It is a cyclic number.

It is not a de Polignac number, because 2442031410031 - 25 = 2442031409999 is a prime.

It is a super-2 number, since 2×24420314100312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2442031409978 and 2442031410005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442031410001) 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, 2296686 + ... + 3187291.

It is an arithmetic number, because the mean of its divisors is an integer number (167809726800).

Almost surely, 22442031410031 is an apocalyptic number.

2442031410031 is a deficient number, since it is larger than the sum of its proper divisors (242924218769).

2442031410031 is a wasteful number, since it uses less digits than its factorization.

2442031410031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485038.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2442031410031 its reverse (1300141302442), we get a palindrome (3742172712473).

The spelling of 2442031410031 in words is "two trillion, four hundred forty-two billion, thirty-one million, four hundred ten thousand, thirty-one".

Divisors: 1 19 23 437 1019 19361 23437 445303 5483977 104195563 126131471 2396497949 5588172563 106175278697 128527968949 2442031410031