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3403442120031 = 34371135616323
BaseRepresentation
bin110001100001101100111…
…101010110010101011111
3110001100212201210110110000
4301201230331112111133
5421230222140320111
611123304132145343
7500614316460342
oct61415475262537
913040781713400
103403442120031
1110a2434392878
1246b739a68253
131b8c35320855
14baa282ac459
155d7e8414c56
hex3186cf5655f

3403442120031 has 20 divisors (see below), whose sum is σ = 5221563857752. Its totient is φ = 2207638129968.

The previous prime is 3403442119943. The next prime is 3403442120041. The reversal of 3403442120031 is 1300212443043.

3403442120031 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 4 + 421 + 200 + 31 = 666.

It is not a de Polignac number, because 3403442120031 - 211 = 3403442117983 is a prime.

It is a super-2 number, since 2×34034421200312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3403442119977 and 3403442120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3403442120041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 567805165 + ... + 567811158.

Almost surely, 23403442120031 is an apocalyptic number.

3403442120031 is a deficient number, since it is larger than the sum of its proper divisors (1818121737721).

3403442120031 is a wasteful number, since it uses less digits than its factorization.

3403442120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135616372 (or 1135616363 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3403442120031 its reverse (1300212443043), we get a palindrome (4703654563074).

It can be divided in two parts, 340344 and 2120031, that added together give a cube (2460375 = 1353).

The spelling of 3403442120031 in words is "three trillion, four hundred three billion, four hundred forty-two million, one hundred twenty thousand, thirty-one".

Divisors: 1 3 9 27 37 81 111 333 999 2997 1135616323 3406848969 10220546907 30661640721 42017803951 91984922163 126053411853 378160235559 1134480706677 3403442120031