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1006061010501 = 35340289157051
BaseRepresentation
bin11101010001111011110…
…10001011111001000101
310120011211010021122211110
432220331322023321011
5112440403104314001
62050102242555233
7132454062330411
oct16507572137105
93504733248743
101006061010501
11358739237888
12142b93968b19
1373b42ba64a1
143699d3b7d41
151b2839013d6
hexea3de8be45

1006061010501 has 16 divisors (see below), whose sum is σ = 1366767017280. Its totient is φ = 658031961600.

The previous prime is 1006061010469. The next prime is 1006061010517. The reversal of 1006061010501 is 1050101606001.

It is not a de Polignac number, because 1006061010501 - 25 = 1006061010469 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006061010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6327426 + ... + 6484476.

It is an arithmetic number, because the mean of its divisors is an integer number (85422938580).

Almost surely, 21006061010501 is an apocalyptic number.

It is an amenable number.

1006061010501 is a deficient number, since it is larger than the sum of its proper divisors (360706006779).

1006061010501 is a wasteful number, since it uses less digits than its factorization.

1006061010501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197396.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 1006061010501 its reverse (1050101606001), we get a palindrome (2056162616502).

The spelling of 1006061010501 in words is "one trillion, six billion, sixty-one million, ten thousand, five hundred one".

Divisors: 1 3 53 159 40289 120867 157051 471153 2135317 6405951 8323703 24971109 6327427739 18982283217 335353670167 1006061010501