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11001213214432 = 257297123852627
BaseRepresentation
bin1010000000010110101101…
…1001111101111011100000
31102221201001110112100122021
42200011223121331323200
52420220441040330212
635221515414551224
72213545214266540
oct240055331757340
942851043470567
1011001213214432
113561652070971
121298138068514
1361a54389420c
142a0666745320
15141277e55307
hexa016b67dee0

11001213214432 has 96 divisors (see below), whose sum is σ = 25966924945920. Its totient is φ = 4488110108160.

The previous prime is 11001213214429. The next prime is 11001213214463. The reversal of 11001213214432 is 23441231210011.

11001213214432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11001213214397 and 11001213214406.

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, 11465098 + ... + 12387529.

It is an arithmetic number, because the mean of its divisors is an integer number (270488801520).

Almost surely, 211001213214432 is an apocalyptic number.

It is an amenable number.

11001213214432 is an abundant number, since it is smaller than the sum of its proper divisors (14965711731488).

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

11001213214432 is a wasteful number, since it uses less digits than its factorization.

11001213214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23852744 (or 23852736 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 11001213214432 its reverse (23441231210011), we get a palindrome (34442444424443).

The spelling of 11001213214432 in words is "eleven trillion, one billion, two hundred thirteen million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 71 112 116 142 203 224 232 284 406 464 497 568 812 928 994 1136 1624 1988 2059 2272 3248 3976 4118 6496 7952 8236 14413 15904 16472 28826 32944 57652 65888 115304 230608 461216 23852627 47705254 95410508 166968389 190821016 333936778 381642032 667873556 691726183 763284064 1335747112 1383452366 1693536517 2671494224 2766904732 3387073034 4842083281 5342988448 5533809464 6774146068 9684166562 11067618928 11854755619 13548292136 19368333124 22135237856 23709511238 27096584272 38736666248 47419022476 49112558993 54193168544 77473332496 94838044952 98225117986 154946664992 189676089904 196450235972 343787912951 379352179808 392900471944 687575825902 785800943888 1375151651804 1571601887776 2750303303608 5500606607216 11001213214432