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349135105711 = 7265809108271
BaseRepresentation
bin1010001010010100001…
…00101110111010101111
31020101011211022000110011
411011022010232322233
521210012041340321
6424220200554051
734136615301400
oct5051204567257
91211154260404
10349135105711
11125081735487
12577b8782927
1326c00646b62
1412c80a539a7
15913615dae1
hex514a12eeaf

349135105711 has 12 divisors (see below), whose sum is σ = 406146678240. Its totient is φ = 299251350720.

The previous prime is 349135105681. The next prime is 349135105741. The reversal of 349135105711 is 117501531943.

It is an interprime number because it is at equal distance from previous prime (349135105681) and next prime (349135105741).

It is not a de Polignac number, because 349135105711 - 25 = 349135105679 is a prime.

It is a super-2 number, since 2×3491351057112 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349135105741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3170506 + ... + 3278776.

It is an arithmetic number, because the mean of its divisors is an integer number (33845556520).

Almost surely, 2349135105711 is an apocalyptic number.

349135105711 is a deficient number, since it is larger than the sum of its proper divisors (57011572529).

349135105711 is a wasteful number, since it uses less digits than its factorization.

349135105711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174094 (or 174087 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 40.

The spelling of 349135105711 in words is "three hundred forty-nine billion, one hundred thirty-five million, one hundred five thousand, seven hundred eleven".

Divisors: 1 7 49 65809 108271 460663 757897 3224641 5305279 7125206239 49876443673 349135105711