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10002220222021 = 174189381160553
BaseRepresentation
bin1001000110001101001011…
…0010001000011001000101
31022102012110220222012212121
42101203102302020121011
52302334021334101041
633134542340045541
72051431225045636
oct221432262103105
938365426865777
1010002220222021
113206a10615755
1211565b73938b1
1357728911a371
14268177d5188d
151252a9d067d1
hex918d2c88645

10002220222021 has 16 divisors (see below), whose sum is σ = 10849082046768. Its totient is φ = 9184088166400.

The previous prime is 10002220222013. The next prime is 10002220222031. The reversal of 10002220222021 is 12022202220001.

It can be written as a sum of positive squares in 8 ways, for example, as 615110804100 + 9387109417921 = 784290^2 + 3063839^2 .

It is not a de Polignac number, because 10002220222021 - 23 = 10002220222013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002220221986 and 10002220222004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002220222031) 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, 62218281 + ... + 62378833.

It is an arithmetic number, because the mean of its divisors is an integer number (678067627923).

Almost surely, 210002220222021 is an apocalyptic number.

It is an amenable number.

10002220222021 is a deficient number, since it is larger than the sum of its proper divisors (846861824747).

10002220222021 is a wasteful number, since it uses less digits than its factorization.

10002220222021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249992.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10002220222021 its reverse (12022202220001), we get a palindrome (22024422442022).

The spelling of 10002220222021 in words is "ten trillion, two billion, two hundred twenty million, two hundred twenty-two thousand, twenty-one".

Divisors: 1 17 41 697 89381 160553 1519477 2729401 3664621 6582673 62298557 111905441 14350387693 243956590781 588365895413 10002220222021