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105720470424543 = 31359167275122429
BaseRepresentation
bin11000000010011011110111…
…000101011100101111011111
3111212022210000100122100211210
4120002123313011130233133
5102324111010412041133
61012503151424515503
731161023545362102
oct3002336705345737
9455283010570753
10105720470424543
113075a888478267
12ba3540377bb93
1346cb522650190
141c16c8043c739
15c35073289763
hex6026f715cbdf

105720470424543 has 32 divisors (see below), whose sum is σ = 155301109286400. Its totient is φ = 63573089682816.

The previous prime is 105720470424521. The next prime is 105720470424581. The reversal of 105720470424543 is 345424074027501.

It is a happy number.

It is not a de Polignac number, because 105720470424543 - 28 = 105720470424287 is a prime.

It is a super-2 number, since 2×1057204704245432 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105720470424492 and 105720470424501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105720470423543) 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, 137176948 + ... + 137945481.

It is an arithmetic number, because the mean of its divisors is an integer number (4853159665200).

Almost surely, 2105720470424543 is an apocalyptic number.

105720470424543 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105720470424543 is a deficient number, since it is larger than the sum of its proper divisors (49580638861857).

105720470424543 is a wasteful number, since it uses less digits than its factorization.

105720470424543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275122671.

The product of its (nonzero) digits is 3763200, while the sum is 48.

The spelling of 105720470424543 in words is "one hundred five trillion, seven hundred twenty billion, four hundred seventy million, four hundred twenty-four thousand, five hundred forty-three".

Divisors: 1 3 13 39 59 167 177 501 767 2171 2301 6513 9853 29559 128089 384267 275122429 825367287 3576591577 10729774731 16232223311 45945445643 48696669933 137836336929 211018903043 597290793359 633056709129 1791872380077 2710781292937 8132343878811 35240156808181 105720470424543