Search a number
-
+
11343512511225 = 325219179109713513
BaseRepresentation
bin1010010100010001111000…
…0010001010001011111001
31111011102120220001022010100
42211010132002022023321
52441323003200324400
640043045424510013
72250353546305206
oct245043602121371
944142526038110
1011343512511225
1136838360a6994
12133254747b309
136438c4c3240b
142b305957ccad
1514a10ddce100
hexa511e08a2f9

11343512511225 has 144 divisors (see below), whose sum is σ = 21527510097600. Its totient is φ = 5693822760960.

The previous prime is 11343512511217. The next prime is 11343512511239. The reversal of 11343512511225 is 52211521534311.

11343512511225 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 3 + 512 + 5 + 112 + 25 = 666.

It is not a de Polignac number, because 11343512511225 - 23 = 11343512511217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11343512511225.

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 143 ways as a sum of consecutive naturals, for example, 839445069 + ... + 839458581.

It is an arithmetic number, because the mean of its divisors is an integer number (149496597900).

Almost surely, 211343512511225 is an apocalyptic number.

11343512511225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11343512511225 is a deficient number, since it is larger than the sum of its proper divisors (10183997586375).

11343512511225 is a wasteful number, since it uses less digits than its factorization.

11343512511225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14824 (or 14816 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The spelling of 11343512511225 in words is "eleven trillion, three hundred forty-three billion, five hundred twelve million, five hundred eleven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 179 225 285 475 537 855 895 1097 1425 1611 2685 3291 3401 4275 4475 5485 8055 9873 10203 13425 13513 16455 17005 20843 27425 30609 40275 40539 49365 51015 62529 67565 82275 85025 104215 121617 153045 187587 196363 202695 246825 255075 256747 312645 337825 521075 589089 608085 765225 770241 937935 981815 1013475 1283735 1563225 1767267 2310723 2418827 2945445 3040425 3730897 3851205 4689675 4909075 6418675 7256481 8836335 11192691 11553615 12094135 14727225 14823761 18654485 19256025 21769443 33578073 36282405 44181675 44471283 45957713 55963455 57768075 60470675 74118805 93272425 108847215 133413849 137873139 167890365 181412025 222356415 229788565 279817275 281651459 370594025 413619417 544236075 667069245 689365695 839451825 844954377 1111782075 1148942825 1408257295 2068097085 2534863131 2653453219 3335346225 3446828475 4224771885 7041286475 7960359657 10340485425 12674315655 13267266095 21123859425 23881078971 39801798285 50415611161 63371578275 66336330475 119405394855 151246833483 199008991425 252078055805 453740500449 597026974275 756234167415 1260390279025 2268702502245 3781170837075 11343512511225