Search a number
-
+
12224415015100 = 22521076011190063
BaseRepresentation
bin1011000111100011011111…
…1010100010000010111100
31121021122100111112001200101
42301320313322202002330
53100241100220440400
641555452502410444
72401120254116401
oct261706772420274
947248314461611
1012224415015100
11399338864a232
12145520ba30a24
136a89acca5b52
1430394448c2a8
15162eb9a1356a
hexb1e37ea20bc

12224415015100 has 72 divisors (see below), whose sum is σ = 26779491502848. Its totient is φ = 4843235908800.

The previous prime is 12224415015097. The next prime is 12224415015187. The reversal of 12224415015100 is 151051442221.

It is a super-2 number, since 2×122244150151002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64222669 + ... + 64412731.

It is an arithmetic number, because the mean of its divisors is an integer number (371937381984).

Almost surely, 212224415015100 is an apocalyptic number.

12224415015100 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 12224415015100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13389745751424).

12224415015100 is an abundant number, since it is smaller than the sum of its proper divisors (14555076487748).

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

12224415015100 is a wasteful number, since it uses less digits than its factorization.

12224415015100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196195 (or 196188 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 12224415015100 its reverse (151051442221), we get a palindrome (12375466457321).

The spelling of 12224415015100 in words is "twelve trillion, two hundred twenty-four billion, four hundred fifteen million, fifteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 2140 2675 5350 6011 10700 12022 24044 30055 60110 120220 150275 190063 300550 380126 601100 643177 760252 950315 1286354 1900630 2572708 3215885 3801260 4751575 6431770 9503150 12863540 16079425 19006300 20336741 32158850 40673482 64317700 81346964 101683705 203367410 406734820 508418525 1016837050 1142468693 2033674100 2284937386 4569874772 5712343465 11424686930 22849373860 28561717325 57123434650 114246869300 122244150151 244488300302 488976600604 611220750755 1222441501510 2444883003020 3056103753775 6112207507550 12224415015100