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11221221020020 = 22511591484358243
BaseRepresentation
bin1010001101001010010011…
…1001001001000101110100
31110201201221012000212122021
42203102210321021011310
52432322030040120040
635510542513442524
72235464213630344
oct243224471110564
943651835025567
1011221221020020
113636990802590
1213128b8270444
13635206091abb
142ab177b80d24
15146d52b8824a
hexa34a4e49174

11221221020020 has 96 divisors (see below), whose sum is σ = 26144715824640. Its totient is φ = 4010944824960.

The previous prime is 11221221019997. The next prime is 11221221020021. The reversal of 11221221020020 is 2002012212211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11221221019976 and 11221221020003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221221020021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192633019 + ... + 192691261.

It is an arithmetic number, because the mean of its divisors is an integer number (272340789840).

Almost surely, 211221221020020 is an apocalyptic number.

11221221020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221221020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13072357912320).

11221221020020 is an abundant number, since it is smaller than the sum of its proper divisors (14923494804620).

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

11221221020020 is a wasteful number, since it uses less digits than its factorization.

11221221020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73165 (or 73163 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11221221020020 its reverse (2002012212211), we get a palindrome (13223233232231).

The spelling of 11221221020020 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty-one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 6490 12980 14843 29686 58243 59372 74215 116486 148430 163273 232972 291215 296860 326546 582430 640673 653092 816365 875737 1164860 1281346 1632730 1751474 2562692 3203365 3265460 3436337 3502948 4378685 6406730 6872674 8757370 9633107 12813460 13745348 17181685 17514740 19266214 34363370 37799707 38532428 48165535 68726740 75599414 96331070 151198828 188998535 192662140 377997070 755994140 864500849 1729001698 3458003396 4322504245 8645008490 9509509339 17290016980 19019018678 38038037356 47547546695 51005550091 95095093390 102011100182 190190186780 204022200364 255027750455 510055500910 561061051001 1020111001820 1122122102002 2244244204004 2805305255005 5610610510010 11221221020020