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21022212010112 = 271092505760133
BaseRepresentation
bin1001100011110100111010…
…11110101011000010000000
32202102201000002200221210222
410301322131132223002000
510223411442233310422
6112413245413042212
74266543003524615
oct461723536530200
982381002627728
1021022212010112
1167755196a4985
1224362b4326368
13b96503302311
145296a267250c
15266c81658842
hex131e9d7ab080

21022212010112 has 64 divisors (see below), whose sum is σ = 42266799504600. Its totient is φ = 10414085013504.

The previous prime is 21022212010097. The next prime is 21022212010133. The reversal of 21022212010112 is 21101021222012.

It can be written as a sum of positive squares in 4 ways, for example, as 16672718234176 + 4349493775936 = 4083224^2 + 2085544^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349565198 + ... + 349625330.

Almost surely, 221022212010112 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 21022212010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21133399752300).

21022212010112 is an abundant number, since it is smaller than the sum of its proper divisors (21244587494488).

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

21022212010112 is a wasteful number, since it uses less digits than its factorization.

21022212010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85313 (or 85301 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21022212010112 its reverse (21101021222012), we get a palindrome (42123233232124).

The spelling of 21022212010112 in words is "twenty-one trillion, twenty-two billion, two hundred twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 109 128 218 436 872 1744 3488 6976 13952 25057 50114 60133 100228 120266 200456 240532 400912 481064 801824 962128 1603648 1924256 2731213 3207296 3848512 5462426 6554497 7697024 10924852 13108994 21849704 26217988 43699408 52435976 87398816 104871952 174797632 209743904 349595264 419487808 838975616 1506752581 3013505162 6027010324 12054020648 24108041296 48216082592 96432165184 164236031329 192864330368 328472062658 656944125316 1313888250632 2627776501264 5255553002528 10511106005056 21022212010112