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1001002202201 = 3730418896453
BaseRepresentation
bin11101001000100000110…
…00010111010001011001
310112200202120020120110002
432210100120113101121
5112400023030432301
62043504251102345
7132214524221231
oct16442030272131
93480676216402
101001002202201
11356582713281
121420017419b5
1373517ac71b1
143663d5a8cc1
151b08973016b
hexe910617459

1001002202201 has 8 divisors (see below), whose sum is σ = 1028394496584. Its totient is φ = 973627706880.

The previous prime is 1001002202191. The next prime is 1001002202209. The reversal of 1001002202201 is 1022022001001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 872451270601 + 128550931600 = 934051^2 + 358540^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001002202201 - 222 = 1000998007897 is a prime.

It is a super-2 number, since 2×10010022022012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001002202209) 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 7 ways as a sum of consecutive naturals, for example, 4335710 + ... + 4560743.

It is an arithmetic number, because the mean of its divisors is an integer number (128549312073).

Almost surely, 21001002202201 is an apocalyptic number.

It is an amenable number.

1001002202201 is a deficient number, since it is larger than the sum of its proper divisors (27392294383).

1001002202201 is an equidigital number, since it uses as much as digits as its factorization.

1001002202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8899531.

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

Adding to 1001002202201 its reverse (1022022001001), we get a palindrome (2023024203202).

The spelling of 1001002202201 in words is "one trillion, one billion, two million, two hundred two thousand, two hundred one".

Divisors: 1 37 3041 112517 8896453 329168761 27054113573 1001002202201