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1000210120001 = 471391303117499
BaseRepresentation
bin11101000111000010010…
…10110011110101000001
310112121201100210121221022
432203201022303311001
5112341412242320001
62043253514035225
7132156065512541
oct16434112636501
93477640717838
101000210120001
113562065a0194
12141a20418b15
137341c9871c1
14365a6301321
151b03ee1e11b
hexe8e12b3d41

1000210120001 has 16 divisors (see below), whose sum is σ = 1029638400000. Its totient is φ = 971132249808.

The previous prime is 1000210119991. The next prime is 1000210120003.

1000210120001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000210120001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000210120003) 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, 8453750 + ... + 8571248.

It is an arithmetic number, because the mean of its divisors is an integer number (64352400000).

Almost surely, 21000210120001 is an apocalyptic number.

It is an amenable number.

1000210120001 is a deficient number, since it is larger than the sum of its proper divisors (29428279999).

1000210120001 is a wasteful number, since it uses less digits than its factorization.

1000210120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118988.

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 1000210 and 120001, that added together give a palindrome (1120211).

The spelling of 1000210120001 in words is "one trillion, two hundred ten million, one hundred twenty thousand, one".

Divisors: 1 47 139 1303 6533 61241 117499 181117 5522453 8512499 16332361 153101197 767620967 7195756259 21281066383 1000210120001