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1010022002201 = 17618677112249
BaseRepresentation
bin11101011001010100000…
…00001010111000011001
310120120001011120212221202
432230222000022320121
5113022011113032301
62051555300443545
7132654200236232
oct16545200127031
93516034525852
101010022002201
1135a3910a8543
121438ba3a95b5
13743246ba864
1436c57496089
151b41651d66b
hexeb2a00ae19

1010022002201 has 16 divisors (see below), whose sum is σ = 1087101738000. Its totient is φ = 934909102080.

The previous prime is 1010022002189. The next prime is 1010022002257. The reversal of 1010022002201 is 1022002200101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 409010176 + 1009612992025 = 20224^2 + 1004795^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010022002201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010022008201) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8941925 + ... + 9054173.

It is an arithmetic number, because the mean of its divisors is an integer number (67943858625).

Almost surely, 21010022002201 is an apocalyptic number.

It is an amenable number.

1010022002201 is a deficient number, since it is larger than the sum of its proper divisors (77079735799).

1010022002201 is a wasteful number, since it uses less digits than its factorization.

1010022002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121004.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1010022002201 its reverse (1022002200101), we get a palindrome (2032024202302).

The spelling of 1010022002201 in words is "one trillion, ten billion, twenty-two million, two thousand, two hundred one".

Divisors: 1 17 61 1037 8677 112249 147509 529297 1908233 6847189 8998049 116402213 973984573 16557737741 59413058953 1010022002201