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1010182820101 = 71315173515961
BaseRepresentation
bin11101011001100111001…
…01101001000100000101
310120120110101012021122021
432230303211221010011
5113022323300220401
62052023243403141
7132661162203130
oct16546345510405
93516411167567
101010182820101
1135a4639593a4
121439442234b1
137434bb06690
1436c70999217
151b4256d82a1
hexeb33969105

1010182820101 has 16 divisors (see below), whose sum is σ = 1251535737088. Its totient is φ = 793972368000.

The previous prime is 1010182820027. The next prime is 1010182820111. The reversal of 1010182820101 is 1010282810101.

It is not a de Polignac number, because 1010182820101 - 213 = 1010182811909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010182820111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36744240 + ... + 36771721.

It is an arithmetic number, because the mean of its divisors is an integer number (78220983568).

Almost surely, 21010182820101 is an apocalyptic number.

It is an amenable number.

1010182820101 is a deficient number, since it is larger than the sum of its proper divisors (241352916987).

1010182820101 is a wasteful number, since it uses less digits than its factorization.

1010182820101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73516132.

The product of its (nonzero) digits is 256, while the sum is 25.

The spelling of 1010182820101 in words is "one trillion, ten billion, one hundred eighty-two million, eight hundred twenty thousand, one hundred one".

Divisors: 1 7 13 91 151 1057 1963 13741 73515961 514611727 955707493 6689952451 11100910111 77706370777 144311831443 1010182820101