Search a number
-
+
11021035200012 = 22321733154405521
BaseRepresentation
bin1010000001100000100011…
…1000110101111000001100
31110000121012220002120000100
42200120020320311320030
52421032040002400022
635234554344531100
72215146345345135
oct240301070657014
943017186076010
1011021035200012
113569aa4064032
12129bb4a480a90
1361c382411976
142a15c712cc8c
15141a3825b1ac
hexa0608e35e0c

11021035200012 has 72 divisors (see below), whose sum is σ = 29586593351952. Its totient is φ = 3447133747200.

The previous prime is 11021035199989. The next prime is 11021035200013. The reversal of 11021035200012 is 21000253012011.

11021035200012 is a `hidden beast` number, since 110 + 21 + 0 + 3 + 520 + 0 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11021035200013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27000189 + ... + 27405332.

It is an arithmetic number, because the mean of its divisors is an integer number (410924907666).

Almost surely, 211021035200012 is an apocalyptic number.

11021035200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11021035200012 is an abundant number, since it is smaller than the sum of its proper divisors (18565558151940).

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

11021035200012 is a wasteful number, since it uses less digits than its factorization.

11021035200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54405879 (or 54405874 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11021035200012 its reverse (21000253012011), we get a palindrome (32021288212023).

The spelling of 11021035200012 in words is "eleven trillion, twenty-one billion, thirty-five million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 331 612 662 993 1324 1986 2979 3972 5627 5958 11254 11916 16881 22508 33762 50643 67524 101286 202572 54405521 108811042 163216563 217622084 326433126 489649689 652866252 924893857 979299378 1849787714 1958598756 2774681571 3699575428 5549363142 8324044713 11098726284 16648089426 18008227451 33296178852 36016454902 54024682353 72032909804 108049364706 162074047059 216098729412 306139866667 324148094118 612279733334 648296188236 918419600001 1224559466668 1836839200002 2755258800003 3673678400004 5510517600006 11021035200012