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22100210120213 is a prime number
BaseRepresentation
bin1010000011001100110110…
…01011000111011000010101
32220020202111122022220121122
411001212123023013120111
510344042212242321323
6115000410225453325
74440454544342561
oct501463313073025
986222448286548
1022100210120213
117050712509395
12258b2037a1245
13c4406ba46314
14565927a266a1
15284d25755ec8
hex14199b2c7615

22100210120213 has 2 divisors, whose sum is σ = 22100210120214. Its totient is φ = 22100210120212.

The previous prime is 22100210120201. The next prime is 22100210120353. The reversal of 22100210120213 is 31202101200122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21986561574289 + 113648545924 = 4688983^2 + 337118^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22100210120213 is a prime.

It is a super-2 number, since 2×221002101202132 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22100210120191 and 22100210120200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22100210120713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050105060106 + 11050105060107.

It is an arithmetic number, because the mean of its divisors is an integer number (11050105060107).

Almost surely, 222100210120213 is an apocalyptic number.

It is an amenable number.

22100210120213 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100210120213 is an equidigital number, since it uses as much as digits as its factorization.

22100210120213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 22100210120213 its reverse (31202101200122), we get a palindrome (53302311320335).

The spelling of 22100210120213 in words is "twenty-two trillion, one hundred billion, two hundred ten million, one hundred twenty thousand, two hundred thirteen".