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22000013113312 = 2513211431581527
BaseRepresentation
bin1010000000010010001101…
…11101110111011111100000
32212220011212201222120201001
411000021012331313133200
510340422011324111222
6114442355544121344
74430306556004123
oct500110675673740
985804781876631
1022000013113312
117012175955073
1225738bba66254
13c37791489a60
14560b407623ba
1528240e0a3e27
hex140246f777e0

22000013113312 has 96 divisors (see below), whose sum is σ = 46974138430464. Its totient is φ = 10082265177600.

The previous prime is 22000013113307. The next prime is 22000013113321. The reversal of 22000013113312 is 21331131000022.

It is a self number, because there is not a number n which added to its sum of digits gives 22000013113312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37540693 + ... + 38122219.

It is an arithmetic number, because the mean of its divisors is an integer number (489313941984).

Almost surely, 222000013113312 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 22000013113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23487069215232).

22000013113312 is an abundant number, since it is smaller than the sum of its proper divisors (24974125317152).

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

22000013113312 is a wasteful number, since it uses less digits than its factorization.

22000013113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582192 (or 582184 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 22000013113312 its reverse (21331131000022), we get a palindrome (43331144113334).

The spelling of 22000013113312 in words is "twenty-two trillion, thirteen million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 211 416 422 431 844 862 1688 1724 2743 3376 3448 5486 5603 6752 6896 10972 11206 13792 21944 22412 43888 44824 87776 89648 90941 179296 181882 363764 581527 727528 1163054 1182233 1455056 2326108 2364466 2910112 4652216 4728932 7559851 9304432 9457864 15119702 18608864 18915728 30239404 37831456 60478808 120957616 122702197 241915232 245404394 250638137 490808788 501276274 981617576 1002552548 1595128561 1963235152 2005105096 3190257122 3258295781 3926470304 4010210192 6380514244 6516591562 8020420384 12761028488 13033183124 25522056976 26066366248 51044113952 52132732496 52884646907 104265464992 105769293814 211538587628 423077175256 687500409791 846154350512 1375000819582 1692308701024 2750001639164 5500003278328 11000006556656 22000013113312