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10011232220 = 22511131563617
BaseRepresentation
bin10010101001011011…
…10100011111011100
3221211200220021211112
421110231310133130
5131000333412340
64333223241152
7503042032643
oct112455643734
927750807745
1010011232220
114278096a40
121b348a91b8
13c37120b62
146ad84835a
153d8d7b065
hex254b747dc

10011232220 has 96 divisors (see below), whose sum is σ = 23188467456. Its totient is φ = 3600396800.

The previous prime is 10011232213. The next prime is 10011232223. The reversal of 10011232220 is 2223211001.

It is a happy number.

It is a super-2 number, since 2×100112322202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011232195 and 10011232204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011232223) 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, 16225352 + ... + 16225968.

It is an arithmetic number, because the mean of its divisors is an integer number (241546536).

Almost surely, 210011232220 is an apocalyptic number.

10011232220 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 10011232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11594233728).

10011232220 is an abundant number, since it is smaller than the sum of its proper divisors (13177235236).

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

10011232220 is a wasteful number, since it uses less digits than its factorization.

10011232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10011232220 its reverse (2223211001), we get a palindrome (12234443221).

The spelling of 10011232220 in words is "ten billion, eleven million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 563 617 655 1126 1234 1310 1441 2252 2468 2620 2815 2882 3085 5630 5764 6170 6193 6787 7205 11260 12340 12386 13574 14410 24772 27148 28820 30965 33935 61930 67870 73753 80827 123860 135740 147506 161654 295012 323308 347371 368765 404135 694742 737530 808270 811283 889097 1389484 1475060 1616540 1622566 1736855 1778194 3245132 3473710 3556388 3821081 4056415 4445485 6947420 7642162 8112830 8890970 15284324 16225660 17781940 19105405 38210810 45505601 76421620 91011202 182022404 227528005 455056010 500561611 910112020 1001123222 2002246444 2502808055 5005616110 10011232220