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105343353501 = 31773233121439
BaseRepresentation
bin110001000011011110…
…1000000001010011101
3101001220120002211021020
41202012331000022131
53211220344303001
6120221041354353
710416335505411
oct1420675001235
9331816084236
10105343353501
1140748638731
12184bb3389b9
139c1a838189
14515497cd41
152b183b5736
hex1886f4029d

105343353501 has 32 divisors (see below), whose sum is σ = 151405562880. Its totient is φ = 64912011264.

The previous prime is 105343353497. The next prime is 105343353523. The reversal of 105343353501 is 105353343501.

It is a happy number.

It is not a de Polignac number, because 105343353501 - 22 = 105343353497 is a prime.

It is a super-2 number, since 2×1053433535012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105343353581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806740 + ... + 928178.

It is an arithmetic number, because the mean of its divisors is an integer number (4731423840).

Almost surely, 2105343353501 is an apocalyptic number.

It is an amenable number.

105343353501 is a deficient number, since it is larger than the sum of its proper divisors (46062209379).

105343353501 is a wasteful number, since it uses less digits than its factorization.

105343353501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121765.

The product of its (nonzero) digits is 40500, while the sum is 33.

The spelling of 105343353501 in words is "one hundred five billion, three hundred forty-three million, three hundred fifty-three thousand, five hundred one".

Divisors: 1 3 17 51 73 219 233 699 1241 3723 3961 11883 17009 51027 121439 289153 364317 867459 2064463 6193389 8865047 26595141 28295287 84885861 150705799 452117397 481019879 1443059637 2065555951 6196667853 35114451167 105343353501