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3431102011343 = 171012967167349
BaseRepresentation
bin110001111011011101100…
…111011101011111001111
3110011000021101202112011222
4301323131213131133033
5422203344103330333
611144120531433555
7502613622615026
oct61733547353717
913130241675158
103431102011343
111103138700586
12474b791558bb
131bb722939646
14bc0cda078bd
155e3b6898298
hex31edd9dd7cf

3431102011343 has 16 divisors (see below), whose sum is σ = 3669079291200. Its totient is φ = 3197144256000.

The previous prime is 3431102011223. The next prime is 3431102011387.

3431102011343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3431102011343 - 212 = 3431102007247 is a prime.

It is a super-2 number, since 2×34311020113432 (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 (3431102001343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50911433 + ... + 50978781.

It is an arithmetic number, because the mean of its divisors is an integer number (229317455700).

Almost surely, 23431102011343 is an apocalyptic number.

3431102011343 is a deficient number, since it is larger than the sum of its proper divisors (237977279857).

3431102011343 is a wasteful number, since it uses less digits than its factorization.

3431102011343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97138.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 3431102011343 in words is "three trillion, four hundred thirty-one billion, one hundred two million, eleven thousand, three hundred forty-three".

Divisors: 1 17 101 1717 29671 67349 504407 1144933 2996771 6802249 50945107 115638233 1998312179 33971307043 201829530079 3431102011343