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21150221141224 = 23731181577116657
BaseRepresentation
bin1001100111100011010110…
…11010110000010011101000
32202212221102021110120202001
410303301223122300103220
510233011123103004344
6112552135533020344
74312024124300530
oct463615332602350
982787367416661
1021150221141224
1168148384a381a
12245707a3246b4
13ba55c38a8a06
1453196757c4c0
1526a27480eed4
hex133c6b6b04e8

21150221141224 has 128 divisors (see below), whose sum is σ = 47124307077120. Its totient is φ = 8708323737600.

The previous prime is 21150221141213. The next prime is 21150221141243. The reversal of 21150221141224 is 42214112205112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 21150221141192 and 21150221141201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181244304 + ... + 181360960.

It is an arithmetic number, because the mean of its divisors is an integer number (368158649040).

Almost surely, 221150221141224 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 21150221141224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23562153538560).

21150221141224 is an abundant number, since it is smaller than the sum of its proper divisors (25974085935896).

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

21150221141224 is a wasteful number, since it uses less digits than its factorization.

21150221141224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117459 (or 117455 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

Adding to 21150221141224 its reverse (42214112205112), we get a palindrome (63364333346336).

The spelling of 21150221141224 in words is "twenty-one trillion, one hundred fifty billion, two hundred twenty-one million, one hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 181 217 248 362 434 577 724 868 1154 1267 1448 1736 2308 2534 4039 4616 5068 5611 8078 10136 11222 16156 17887 22444 32312 35774 39277 44888 71548 78554 104437 116657 125209 143096 157108 208874 233314 250418 314216 417748 466628 500836 731059 816599 835496 933256 1001672 1462118 1633198 2924236 3237547 3266396 3616367 5848472 6475094 6532792 7232734 12950188 14465468 21114917 22662829 25314569 25900376 28930936 42229834 45325658 50629138 67311089 84459668 90651316 101258276 134622178 147804419 168919336 181302632 202516552 269244356 295608838 471177623 538488712 591217676 654562427 942355246 1182435352 1309124854 1884710492 2086643759 2618249708 3769420984 4173287518 4581936989 5236499416 8346575036 9163873978 12183307109 14606506313 16693150072 18327747956 24366614218 29213012626 36655495912 48733228436 58426025252 85283149763 97466456872 116852050504 170566299526 341132599052 377682520379 682265198104 755365040758 1510730081516 2643777642653 3021460163032 5287555285306 10575110570612 21150221141224