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22300334103112 = 2313614507779939
BaseRepresentation
bin1010001001000001100110…
…11111100001101001001000
32220221220001121220120200021
411010200303133201221020
510410332041012244422
6115232344305150224
74461101032210012
oct504406337415110
986856047816607
1022300334103112
11711857826179a
122601b5492b374
13c59bb2955250
145714b037d1b2
1528a139a1adc7
hex1448337e1a48

22300334103112 has 64 divisors (see below), whose sum is σ = 45777923150400. Its totient is φ = 10121473808640.

The previous prime is 22300334103079. The next prime is 22300334103133. The reversal of 22300334103112 is 21130143300322.

It is a super-2 number, since 2×223003341031122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28202439 + ... + 28982377.

It is an arithmetic number, because the mean of its divisors is an integer number (715280049225).

Almost surely, 222300334103112 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 22300334103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22888961575200).

22300334103112 is an abundant number, since it is smaller than the sum of its proper divisors (23477589047288).

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

22300334103112 is a wasteful number, since it uses less digits than its factorization.

22300334103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784526 (or 784522 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 22300334103112 its reverse (21130143300322), we get a palindrome (43430477403434).

The spelling of 22300334103112 in words is "twenty-two trillion, three hundred billion, three hundred thirty-four million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 1586 3172 4507 6344 9014 18028 36056 58591 117182 234364 274927 468728 549854 779939 1099708 1559878 2199416 3119756 3574051 6239512 7148102 10139207 14296204 20278414 28592408 40556828 47576279 81113656 95152558 190305116 380610232 618491627 1236983254 2473966508 3515185073 4947933016 7030370146 14060740292 28121480584 45697405949 91394811898 182789623796 214426289453 365579247592 428852578906 857705157812 1715410315624 2787541762889 5575083525778 11150167051556 22300334103112