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10022000011021 = 171936734538717
BaseRepresentation
bin1001000111010110110111…
…0000000010011100001101
31022111002112102010121102101
42101311231300002130031
52303200024000323041
633152013201355101
72053031334350155
oct221655560023415
938432472117371
1010022000011021
113214340807a09
12115a3b7638a91
135790bbcb251b
142690d2cb3765
15125a66574b31
hex91d6dc0270d

10022000011021 has 16 divisors (see below), whose sum is σ = 10682362994544. Its totient is φ = 9369652690944.

The previous prime is 10022000010947. The next prime is 10022000011069. The reversal of 10022000011021 is 12011000022001.

It can be written as a sum of positive squares in 8 ways, for example, as 254881225 + 10021745129796 = 15965^2 + 3165714^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022000011021 - 215 = 10021999978253 is a prime.

It is a super-3 number, since 3×100220000110213 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10022000010989 and 10022000011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022000011081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61246 + ... + 4477471.

It is an arithmetic number, because the mean of its divisors is an integer number (667647687159).

Almost surely, 210022000011021 is an apocalyptic number.

It is an amenable number.

10022000011021 is a deficient number, since it is larger than the sum of its proper divisors (660362983523).

10022000011021 is a wasteful number, since it uses less digits than its factorization.

10022000011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539600.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10022000011021 its reverse (12011000022001), we get a palindrome (22033000033022).

The spelling of 10022000011021 in words is "ten trillion, twenty-two billion, eleven thousand, twenty-one".

Divisors: 1 17 193 673 3281 11441 129889 2208113 4538717 77158189 875972381 3054556541 14891530477 51927461197 589529412413 10022000011021