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202000022001 = 32181124002469
BaseRepresentation
bin1011110000100000100…
…0111011100111110001
3201022101201200022220100
42330020020323213301
511302144001201001
6232444133303013
720410514566641
oct2741010734761
9638351608810
10202000022001
1178738823348
1233195494a69
13160827a354b
149ac3984521
1553c3d3d586
hex2f0823b9f1

202000022001 has 12 divisors (see below), whose sum is σ = 293389844020. Its totient is φ = 133922665440.

The previous prime is 202000021969. The next prime is 202000022017. The reversal of 202000022001 is 100220000202.

202000022001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5662412001 + 196337610000 = 75249^2 + 443100^2 .

It is not a de Polignac number, because 202000022001 - 25 = 202000021969 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 (202000022201) 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, 61999606 + ... + 62002863.

Almost surely, 2202000022001 is an apocalyptic number.

It is an amenable number.

202000022001 is a deficient number, since it is larger than the sum of its proper divisors (91389822019).

202000022001 is a wasteful number, since it uses less digits than its factorization.

202000022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124002656 (or 124002653 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 202000022001 its reverse (100220000202), we get a palindrome (302220022203).

The spelling of 202000022001 in words is "two hundred two billion, twenty-two thousand, one".

Divisors: 1 3 9 181 543 1629 124002469 372007407 1116022221 22444446889 67333340667 202000022001