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21922112121 = 3713531515109
BaseRepresentation
bin10100011010101010…
…001110001001111001
32002120210022200101120
4110122222032021321
5324344030041441
614023150535453
71404151610220
oct243252161171
962523280346
1021922112121
11932a508338
1242b9807589
1320b49810a0
1410bd6a7cb7
15884895966
hex51aa8e279

21922112121 has 32 divisors (see below), whose sum is σ = 36653541120. Its totient is φ = 11345128704.

The previous prime is 21922112083. The next prime is 21922112131. The reversal of 21922112121 is 12121122912.

It is not a de Polignac number, because 21922112121 - 210 = 21922111097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21922112091 and 21922112100.

It is not an unprimeable number, because it can be changed into a prime (21922112131) 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 31 ways as a sum of consecutive naturals, for example, 743086 + ... + 772023.

It is an arithmetic number, because the mean of its divisors is an integer number (1145423160).

Almost surely, 221922112121 is an apocalyptic number.

21922112121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21922112121 is a deficient number, since it is larger than the sum of its proper divisors (14731428999).

21922112121 is a wasteful number, since it uses less digits than its factorization.

21922112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515185.

The product of its digits is 288, while the sum is 24.

The spelling of 21922112121 in words is "twenty-one billion, nine hundred twenty-two million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 13 21 39 53 91 159 273 371 689 1113 2067 4823 14469 1515109 4545327 10605763 19696417 31817289 59089251 80300777 137874919 240902331 413624757 562105439 1043910101 1686316317 3131730303 7307370707 21922112121