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10002222022021 = 31288611174601
BaseRepresentation
bin1001000110001101001011…
…1000111111110110000101
31022102012111001100200000021
42101203102320333312011
52302334022314201041
633134542442415141
72051431246253515
oct221432270776605
938365431320007
1010002222022021
113206a11635059
1211565b7b014b1
135772895ca758
1426817829d845
151252aa05ecd1
hex918d2e3fd85

10002222022021 has 12 divisors (see below), whose sum is σ = 10336457663532. Its totient is φ = 9678469080000.

The previous prime is 10002222021901. The next prime is 10002222022087. The reversal of 10002222022021 is 12022022220001.

It can be written as a sum of positive squares in 2 ways, for example, as 8578519645921 + 1423702376100 = 2928911^2 + 1193190^2 .

It is a de Polignac number, because none of the positive numbers 2k-10002222022021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002222021986 and 10002222022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002222029021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7928121 + ... + 9102721.

It is an arithmetic number, because the mean of its divisors is an integer number (861371471961).

Almost surely, 210002222022021 is an apocalyptic number.

It is an amenable number.

10002222022021 is a deficient number, since it is larger than the sum of its proper divisors (334235641511).

10002222022021 is an equidigital number, since it uses as much as digits as its factorization.

10002222022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183524 (or 1183493 counting only the distinct ones).

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

Adding to 10002222022021 its reverse (12022022220001), we get a palindrome (22024244242022).

The spelling of 10002222022021 in words is "ten trillion, two billion, two hundred twenty-two million, twenty-two thousand, twenty-one".

Divisors: 1 31 961 8861 274691 1174601 8515421 36412631 1128791561 10408139461 322652323291 10002222022021