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1001202002201 = 37673160924989
BaseRepresentation
bin11101001000111000100…
…10100010100100011001
310112201021111012110112002
432210130102202210121
5112400430203032301
62043540145330345
7132222501413432
oct16443422424431
93481244173462
101001202002201
11356675479a45
121420586369b5
137354a31144b
143665bd38489
151b09c04a16b
hexe91c4a2919

1001202002201 has 16 divisors (see below), whose sum is σ = 1030470646800. Its totient is φ = 972051591168.

The previous prime is 1001202002147. The next prime is 1001202002219. The reversal of 1001202002201 is 1022002021001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 533484160000 + 467717842201 = 730400^2 + 683899^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001202002201 - 226 = 1001134893337 is a prime.

It is a super-2 number, since 2×10012020022012 (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 (1001202002501) 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, 40053215 + ... + 40078203.

It is an arithmetic number, because the mean of its divisors is an integer number (64404415425).

Almost surely, 21001202002201 is an apocalyptic number.

It is an amenable number.

1001202002201 is a deficient number, since it is larger than the sum of its proper divisors (29268644599).

1001202002201 is a wasteful number, since it uses less digits than its factorization.

1001202002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27308.

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

Adding to 1001202002201 its reverse (1022002021001), we get a palindrome (2023204023202).

The spelling of 1001202002201 in words is "one trillion, one billion, two hundred two million, two thousand, two hundred one".

Divisors: 1 37 673 1609 24901 24989 59533 924593 1082857 16817597 40065709 40207301 622251089 1487670137 27059513573 1001202002201