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20121320241 = 3511172915269
BaseRepresentation
bin10010101111010100…
…101111101100110001
31220221021210222100000
4102233110233230301
5312202024221431
613124341420213
71311424254141
oct225724575461
956837728300
1020121320241
118595a62790
123a9670a669
131b88874769
14d8c466921
157cb7329e6
hex4af52fb31

20121320241 has 96 divisors (see below), whose sum is σ = 36017654400. Its totient is φ = 11080903680.

The previous prime is 20121320239. The next prime is 20121320273. The reversal of 20121320241 is 14202312102.

It is a happy number.

It is not a de Polignac number, because 20121320241 - 21 = 20121320239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20121320201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1310155 + ... + 1325423.

It is an arithmetic number, because the mean of its divisors is an integer number (375183900).

Almost surely, 220121320241 is an apocalyptic number.

It is an amenable number.

20121320241 is a deficient number, since it is larger than the sum of its proper divisors (15896334159).

20121320241 is a wasteful number, since it uses less digits than its factorization.

20121320241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15341 (or 15329 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20121320241 its reverse (14202312102), we get a palindrome (34323632343).

The spelling of 20121320241 in words is "twenty billion, one hundred twenty-one million, three hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 9 11 17 27 29 33 51 81 87 99 153 187 243 261 297 319 459 493 561 783 891 957 1377 1479 1683 2349 2673 2871 4131 4437 5049 5423 7047 8613 13311 15147 15269 16269 25839 39933 45441 45807 48807 77517 119799 137421 146421 167959 259573 412263 439263 442801 503877 778719 1236789 1317789 1328403 1511631 2336157 2855303 3710367 3985209 4534893 4870811 7008471 7527617 8565909 11955627 13604679 14612433 21025413 22582851 25697727 35866881 40814037 43837299 63076239 67748553 77093181 82803787 107600643 131511897 203245659 231279543 248411361 394535691 609736977 693838629 745234083 1183607073 1829210931 2235702249 6707106747 20121320241