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106723134344 = 23171934065953
BaseRepresentation
bin110001101100100110…
…0011100101110001000
3101012110201101221202102
41203121030130232020
53222032110244334
6121010011052532
710465461450161
oct1433114345610
9335421357672
10106723134344
1141296477482
1218825441148
13a0aa657848
145245d0a768
152b995b467e
hex18d931cb88

106723134344 has 32 divisors (see below), whose sum is σ = 212974670520. Its totient is φ = 49962418176.

The previous prime is 106723134337. The next prime is 106723134373. The reversal of 106723134344 is 443431327601.

It can be written as a sum of positive squares in 4 ways, for example, as 75989538244 + 30733596100 = 275662^2 + 175310^2 .

It is a super-3 number, since 3×1067231343443 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106723134298 and 106723134307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2006729 + ... + 2059224.

Almost surely, 2106723134344 is an apocalyptic number.

It is an amenable number.

106723134344 is a deficient number, since it is larger than the sum of its proper divisors (106251536176).

106723134344 is a wasteful number, since it uses less digits than its factorization.

106723134344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066169 (or 4066165 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 106723134344 in words is "one hundred six billion, seven hundred twenty-three million, one hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 17 34 68 136 193 386 772 1544 3281 6562 13124 26248 4065953 8131906 16263812 32527624 69121201 138242402 276484804 552969608 784728929 1569457858 3138915716 6277831432 13340391793 26680783586 53361567172 106723134344