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20410121312 = 2572432631151
BaseRepresentation
bin10011000000100010…
…011011110001100000
31221200102020120220222
4103000202123301200
5313244442340222
613213135422212
71321532111600
oct230042336140
957612216828
1020410121312
118723a88259
123b57384968
131c03651079
14db8962c00
157e6c7d542
hex4c089bc60

20410121312 has 144 divisors (see below), whose sum is σ = 48053440512. Its totient is φ = 8503891200.

The previous prime is 20410121311. The next prime is 20410121339. The reversal of 20410121312 is 21312101402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20410121311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17731937 + ... + 17733087.

It is an arithmetic number, because the mean of its divisors is an integer number (333704448).

Almost surely, 220410121312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20410121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24026720256).

20410121312 is an abundant number, since it is smaller than the sum of its proper divisors (27643319200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20410121312 is a wasteful number, since it uses less digits than its factorization.

20410121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 20410121312 its reverse (21312101402), we get a palindrome (41722222714).

The spelling of 20410121312 in words is "twenty billion, four hundred ten million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 86 98 112 172 196 224 263 301 344 392 526 602 688 784 1052 1151 1204 1376 1568 1841 2104 2107 2302 2408 3682 4208 4214 4604 4816 7364 8057 8416 8428 9208 9632 11309 12887 14728 16114 16856 18416 22618 25774 29456 32228 33712 36832 45236 49493 51548 56399 58912 64456 67424 79163 90472 98986 103096 112798 128912 158326 180944 197972 206192 225596 257824 302713 316652 346451 361888 395944 412384 451192 554141 605426 633304 692902 791888 902384 1108282 1210852 1266608 1385804 1583776 1804768 2118991 2216564 2421704 2425157 2533216 2771608 4237982 4433128 4843408 4850314 5543216 8475964 8866256 9686816 9700628 11086432 13016659 14832937 16951928 17732512 19401256 26033318 29665874 33903856 38802512 52066636 59331748 67807712 77605024 91116613 104133272 118663496 182233226 208266544 237326992 364466452 416533088 474653984 637816291 728932904 1275632582 1457865808 2551265164 2915731616 5102530328 10205060656 20410121312