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105713570128 = 2419347742007
BaseRepresentation
bin110001001110100000…
…1010001000101010000
3101002212100201210000011
41202131001101011100
53213000133221003
6120321504404304
710431452343235
oct1423501210520
9332770653004
10105713570128
1140918610991
12185a3316694
139c7944c27a
14518bbcd78c
152b3ab4446d
hex189d051150

105713570128 has 20 divisors (see below), whose sum is σ = 215600044960. Its totient is φ = 50074848864.

The previous prime is 105713570113. The next prime is 105713570141. The reversal of 105713570128 is 821075317501.

It is a super-2 number, since 2×1057135701282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 173870700 + ... + 173871307.

It is an arithmetic number, because the mean of its divisors is an integer number (10780002248).

Almost surely, 2105713570128 is an apocalyptic number.

It is an amenable number.

105713570128 is an abundant number, since it is smaller than the sum of its proper divisors (109886474832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105713570128 is a wasteful number, since it uses less digits than its factorization.

105713570128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347742034 (or 347742028 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 40.

Adding to 105713570128 its reverse (821075317501), we get a palindrome (926788887629).

The spelling of 105713570128 in words is "one hundred five billion, seven hundred thirteen million, five hundred seventy thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 347742007 695484014 1390968028 2781936056 5563872112 6607098133 13214196266 26428392532 52856785064 105713570128