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22103213312 = 287310311483
BaseRepresentation
bin10100100101011101…
…000100010100000000
32010001102002120112002
4110211131010110000
5330231410311222
614053140323132
71411511133065
oct244535042400
963042076462
1022103213312
119412762344
12434a3a34a8
13211334c25b
1410d976ac6c
1589571a392
hex525744500

22103213312 has 72 divisors (see below), whose sum is σ = 45162621504. Its totient is φ = 10793447424.

The previous prime is 22103213269. The next prime is 22103213317. The reversal of 22103213312 is 21331230122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22103213317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1919123 + ... + 1930605.

It is an arithmetic number, because the mean of its divisors is an integer number (627258632).

Almost surely, 222103213312 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 22103213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22581310752).

22103213312 is an abundant number, since it is smaller than the sum of its proper divisors (23059408192).

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

22103213312 is a wasteful number, since it uses less digits than its factorization.

22103213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11675 (or 11661 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22103213312 its reverse (21331230122), we get a palindrome (43434443434).

The spelling of 22103213312 in words is "twenty-two billion, one hundred three million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 103 128 146 206 256 292 412 584 824 1168 1648 2336 3296 4672 6592 7519 9344 11483 13184 15038 18688 22966 26368 30076 45932 60152 91864 120304 183728 240608 367456 481216 734912 838259 962432 1182749 1469824 1676518 1924864 2365498 2939648 3353036 4730996 6706072 9461992 13412144 18923984 26824288 37847968 53648576 75695936 86340677 107297152 151391872 172681354 214594304 302783744 345362708 690725416 1381450832 2762901664 5525803328 11051606656 22103213312