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1001020002201 = 32168109661621
BaseRepresentation
bin11101001000100010111…
…00010000111110011001
310112200210210201220110100
432210101130100332121
5112400042110032301
62043510124410013
7132215131425252
oct16442134207631
93480723656410
101001020002201
1135659177071a
121420076a6909
137351b6ba13b
1436641abdb29
151b08b099286
hexe911710f99

1001020002201 has 12 divisors (see below), whose sum is σ = 1445928567460. Its totient is φ = 667341689760.

The previous prime is 1001020002179. The next prime is 1001020002233. The reversal of 1001020002201 is 1022000201001.

It can be written as a sum of positive squares in 2 ways, for example, as 632182419801 + 368837582400 = 795099^2 + 607320^2 .

It is not a de Polignac number, because 1001020002201 - 211 = 1001020000153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001020002601) 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 11 ways as a sum of consecutive naturals, for example, 1182171 + ... + 1843791.

Almost surely, 21001020002201 is an apocalyptic number.

It is an amenable number.

1001020002201 is a deficient number, since it is larger than the sum of its proper divisors (444908565259).

1001020002201 is a wasteful number, since it uses less digits than its factorization.

1001020002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829736 (or 829733 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001020002201 its reverse (1022000201001), we get a palindrome (2023020203202).

The spelling of 1001020002201 in words is "one trillion, one billion, twenty million, two thousand, two hundred one".

Divisors: 1 3 9 168109 504327 661621 1512981 1984863 5954589 111224444689 333673334067 1001020002201