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202001000021 = 31211187716453
BaseRepresentation
bin1011110000100000110…
…0101010011001010101
3201022101210112000111022
42330020030222121111
511302144224000041
6232444210250525
720410526112212
oct2741014523125
9638353460438
10202001000021
1178739331127
1233195886a45
1316082a56762
149ac3b5ab09
1553c3e8324b
hex2f0832a655

202001000021 has 16 divisors (see below), whose sum is σ = 209629751808. Its totient is φ = 194442897600.

The previous prime is 202001000011. The next prime is 202001000029. The reversal of 202001000021 is 120000100202.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202001000021 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202000999972 and 202001000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202001000029) 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, 12269231 + ... + 12285683.

It is an arithmetic number, because the mean of its divisors is an integer number (13101859488).

Almost surely, 2202001000021 is an apocalyptic number.

It is an amenable number.

202001000021 is a deficient number, since it is larger than the sum of its proper divisors (7628751787).

202001000021 is a wasteful number, since it uses less digits than its factorization.

202001000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18572.

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

Adding to 202001000021 its reverse (120000100202), we get a palindrome (322001100223).

The spelling of 202001000021 in words is "two hundred two billion, one million, twenty-one", and thus it is an aban number.

Divisors: 1 31 211 1877 6541 16453 58187 396047 510043 3471583 12277457 30882281 107619073 957350711 6516161291 202001000021