Search a number
-
+
21222103312032 = 2537208071517783
BaseRepresentation
bin1001101001101001001111…
…11011011110011010100000
32210010210221212110012120120
410310310213323132122200
510240200331421441112
6113045144421240240
74320150334541610
oct464644773363240
983123855405516
1021222103312032
116842275073657
122468b9b563080
13bac30ac538ac
1453522613aa40
1526c0802aae8c
hex134d27ede6a0

21222103312032 has 96 divisors (see below), whose sum is σ = 63669411735552. Its totient is φ = 6063162680064.

The previous prime is 21222103312027. The next prime is 21222103312037. The reversal of 21222103312032 is 23021330122212.

It is an interprime number because it is at equal distance from previous prime (21222103312027) and next prime (21222103312037).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21222103311993 and 21222103312011.

It is not an unprimeable number, because it can be changed into a prime (21222103312037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13223413 + ... + 14741195.

It is an arithmetic number, because the mean of its divisors is an integer number (663223038912).

Almost surely, 221222103312032 is an apocalyptic number.

It is an amenable number.

21222103312032 is an abundant number, since it is smaller than the sum of its proper divisors (42447308423520).

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

21222103312032 is a wasteful number, since it uses less digits than its factorization.

21222103312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538610 (or 1538602 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21222103312032 its reverse (23021330122212), we get a palindrome (44243433434244).

The spelling of 21222103312032 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred three million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 20807 41614 62421 83228 124842 145649 166456 249684 291298 332912 436947 499368 582596 665824 873894 998736 1165192 1517783 1747788 1997472 2330384 3035566 3495576 4553349 4660768 6071132 6991152 9106698 10624481 12142264 13982304 18213396 21248962 24284528 31873443 36426792 42497924 48569056 63746886 72853584 84995848 127493772 145707168 169991696 254987544 339983392 509975088 1019950176 31580510881 63161021762 94741532643 126322043524 189483065286 221063576167 252644087048 378966130572 442127152334 505288174096 663190728501 757932261144 884254304668 1010576348192 1326381457002 1515864522288 1768508609336 2652762914004 3031729044576 3537017218672 5305525828008 7074034437344 10611051656016 21222103312032