Search a number
-
+
11354200011225 = 3252197989377749
BaseRepresentation
bin1010010100111001101100…
…0011101111000111011001
31111012110011201110112221200
42211032123003233013121
52442011400200324400
640052014131024413
72251212442460301
oct245163303570731
944173151415850
1011354200011225
11368831a9a2915
12133462a73b109
136449091a3506
142b3790b44601
1514a5372e0b00
hexa539b0ef1d9

11354200011225 has 144 divisors (see below), whose sum is σ = 21921588000000. Its totient is φ = 5600582507520.

The previous prime is 11354200011199. The next prime is 11354200011239. The reversal of 11354200011225 is 52211000245311.

It is a happy number.

11354200011225 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 420 + 0 + 0 + 11 + 225 = 666.

It is not a de Polignac number, because 11354200011225 - 211 = 11354200009177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29868651 + ... + 30246399.

It is an arithmetic number, because the mean of its divisors is an integer number (152233250000).

Almost surely, 211354200011225 is an apocalyptic number.

11354200011225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11354200011225 is a deficient number, since it is larger than the sum of its proper divisors (10567387988775).

11354200011225 is a wasteful number, since it uses less digits than its factorization.

11354200011225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377952 (or 377944 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 11354200011225 its reverse (52211000245311), we get a palindrome (63565200256536).

The spelling of 11354200011225 in words is "eleven trillion, three hundred fifty-four billion, two hundred million, eleven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 79 89 95 171 225 237 267 285 395 445 475 711 801 855 1185 1335 1425 1501 1691 1975 2225 3555 4005 4275 4503 5073 5925 6675 7031 7505 8455 13509 15219 17775 20025 21093 22515 25365 35155 37525 42275 63279 67545 76095 105465 112575 126825 133589 175775 316395 337725 377749 380475 400767 527325 667945 1133247 1202301 1581975 1888745 2003835 3339725 3399741 5666235 6011505 7177231 9443725 10019175 16998705 21531693 28331175 29842171 30057525 33619661 35886155 64595079 84993525 89526513 100858983 107658465 149210855 168098305 179430775 268579539 302576949 322975395 447632565 504294915 538292325 567001249 638773559 746054275 840491525 1342897695 1512884745 1614876975 1701003747 1916320677 2238162825 2521474575 2655953219 2835006245 3193867795 5103011241 5748962031 6714488475 7564423725 7967859657 8505018735 9581603385 13279766095 14175031225 15969338975 23903578971 25515056205 28744810155 39839298285 42525093675 47908016925 50463111161 66398830475 119517894855 127575281025 143724050775 151389333483 199196491425 252315555805 454168000449 597589474275 756946667415 1261577779025 2270840002245 3784733337075 11354200011225