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10121441211 = 337477914423
BaseRepresentation
bin10010110110100100…
…01110111110111011
3222010101021111011000
421123102032332323
5131212042104321
64352201340043
7505550554650
oct113322167673
928111244130
1010121441211
114324320652
121b65797623
13c53bca38b
146c0335c27
153e389a826
hex25b48efbb

10121441211 has 64 divisors (see below), whose sum is σ = 17724211200. Its totient is φ = 5588582688.

The previous prime is 10121441207. The next prime is 10121441237. The reversal of 10121441211 is 11214412101.

10121441211 is a `hidden beast` number, since 1 + 0 + 12 + 1 + 441 + 211 = 666.

It is not a de Polignac number, because 10121441211 - 22 = 10121441207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121441201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 694546 + ... + 708968.

It is an arithmetic number, because the mean of its divisors is an integer number (276940800).

Almost surely, 210121441211 is an apocalyptic number.

10121441211 is a deficient number, since it is larger than the sum of its proper divisors (7602769989).

10121441211 is a wasteful number, since it uses less digits than its factorization.

10121441211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14565 (or 14559 counting only the distinct ones).

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

Adding to 10121441211 its reverse (11214412101), we get a palindrome (21335853312).

The spelling of 10121441211 in words is "ten billion, one hundred twenty-one million, four hundred forty-one thousand, two hundred eleven".

Divisors: 1 3 7 9 21 27 47 63 79 141 189 237 329 423 553 711 987 1269 1659 2133 2961 3713 4977 8883 11139 14423 14931 25991 33417 43269 77973 100251 100961 129807 233919 302883 389421 677881 701757 908649 1139417 2033643 2725947 3418251 4745167 6100929 7975919 10254753 14235501 18302787 23927757 30764259 42706503 53552599 71783271 128119509 160657797 215349813 374868193 481973391 1124604579 1445920173 3373813737 10121441211