Search a number
-
+
22100011123440 = 2435175416669393
BaseRepresentation
bin1010000011001100011110…
…10100000000001011110000
32220020201222202212211100210
411001212033110000023300
510344041310321422230
6115000334400344120
74440446610034215
oct501461724001360
986221882784323
1022100011123440
117050620151148
12258b169015040
13c44039750853
14565909425b0c
15284d13048eb0
hex14198f5002f0

22100011123440 has 80 divisors (see below), whose sum is σ = 72540036524448. Its totient is φ = 5546669457408.

The previous prime is 22100011123429. The next prime is 22100011123493. The reversal of 22100011123440 is 4432111000122.

22100011123440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2708330617 + ... + 2708338776.

Almost surely, 222100011123440 is an apocalyptic number.

22100011123440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100011123440 is an abundant number, since it is smaller than the sum of its proper divisors (50440025401008).

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

22100011123440 is a wasteful number, since it uses less digits than its factorization.

22100011123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5416669426 (or 5416669420 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 22100011123440 its reverse (4432111000122), we get a palindrome (26532122123562).

The spelling of 22100011123440 in words is "twenty-two trillion, one hundred billion, eleven million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 5416669393 10833338786 16250008179 21666677572 27083346965 32500016358 43333355144 54166693930 65000032716 81250040895 86666710288 92083379681 108333387860 130000065432 162500081790 184166759362 216666775720 260000130864 276250139043 325000163580 368333518724 433333551440 460416898405 552500278086 650000327160 736667037448 920833796810 1105000556172 1300000654320 1381250695215 1473334074896 1841667593620 2210001112344 2762501390430 3683335187240 4420002224688 5525002780860 7366670374480 11050005561720 22100011123440