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21105512241 = 31122314471747
BaseRepresentation
bin10011101001111111…
…001000111100110001
32000110212202002221120
4103221333020330301
5321211002342431
613410140212453
71345004615442
oct235177107461
960425662846
1021105512241
118a50569800
12411023a129
131cb47385a8
14104305b2c9
15837d40196
hex4e9fc8f31

21105512241 has 48 divisors (see below), whose sum is σ = 32317135872. Its totient is φ = 12219625440.

The previous prime is 21105512237. The next prime is 21105512293. The reversal of 21105512241 is 14221550112.

It is a happy number.

It is not a de Polignac number, because 21105512241 - 22 = 21105512237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21105512201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12080130 + ... + 12081876.

It is an arithmetic number, because the mean of its divisors is an integer number (673273664).

Almost surely, 221105512241 is an apocalyptic number.

It is an amenable number.

21105512241 is a deficient number, since it is larger than the sum of its proper divisors (11211623631).

21105512241 is a wasteful number, since it uses less digits than its factorization.

21105512241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The spelling of 21105512241 in words is "twenty-one billion, one hundred five million, five hundred twelve thousand, two hundred forty-one".

Divisors: 1 3 11 23 33 69 121 253 363 759 1447 1747 2783 4341 5241 8349 15917 19217 33281 40181 47751 57651 99843 120543 175087 211387 366091 441991 525261 634161 1098273 1325973 2527909 4027001 4861901 7583727 12081003 14585703 27806999 58141907 83420997 174425721 305876989 639560977 917630967 1918682931 7035170747 21105512241