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2121221012211 = 3572199376267
BaseRepresentation
bin11110110111100010100…
…111111111101011110011
321111210020112120022100000
4132313202213333223303
5234223230034342321
64302250412001043
7306152556051600
oct36674247775363
97453215508300
102121221012211
11748671a63504
122a3134760183
131250516bbc72
147494c0356a7
153a2a026e826
hex1ede29ffaf3

2121221012211 has 72 divisors (see below), whose sum is σ = 3890776169280. Its totient is φ = 1148330049552.

The previous prime is 2121221012203. The next prime is 2121221012221. The reversal of 2121221012211 is 1122101221212.

2121221012211 is a `hidden beast` number, since 21 + 212 + 210 + 1 + 221 + 1 = 666.

It is not a de Polignac number, because 2121221012211 - 23 = 2121221012203 is a prime.

It is a super-2 number, since 2×21212210122112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121221012221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4461901 + ... + 4914366.

Almost surely, 22121221012211 is an apocalyptic number.

2121221012211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2121221012211 is a deficient number, since it is larger than the sum of its proper divisors (1769555157069).

2121221012211 is an equidigital number, since it uses as much as digits as its factorization.

2121221012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9376315 (or 9376296 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2121221012211 its reverse (1122101221212), we get a palindrome (3243322233423).

The spelling of 2121221012211 in words is "two trillion, one hundred twenty-one billion, two hundred twenty-one million, twelve thousand, two hundred eleven".

Divisors: 1 3 7 9 19 21 27 49 57 63 81 133 147 171 189 243 399 441 513 567 931 1197 1323 1539 1701 2793 3591 3969 4617 8379 10773 11907 25137 32319 75411 226233 9376267 28128801 65633869 84386403 178149073 196901607 253159209 459437083 534447219 590704821 759477627 1247043511 1378311249 1603341657 1772114463 2278432881 3741130533 4134933747 4810024971 5316343389 8729304577 11223391599 12404801241 14430074913 15949030167 26187913731 33670174797 37214403723 43290224739 78563741193 101010524391 111643211169 235691223579 303031573173 707073670737 2121221012211