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10113201032103 = 3313171805993851
BaseRepresentation
bin1001001100101010100111…
…0000010100101110100111
31022210210221100221111202000
42103022221300110232213
52311143313431011403
633301535044020343
72062440356264001
oct223125160245647
938723840844660
1010113201032103
113249a91371a04
12117400a6916b3
13584894895960
1426d6a54c9371
1512810308e7a3
hex932a9c14ba7

10113201032103 has 64 divisors (see below), whose sum is σ = 17085268569600. Its totient is φ = 5857032844800.

The previous prime is 10113201032101. The next prime is 10113201032153. The reversal of 10113201032103 is 30123010231101.

10113201032103 is a `hidden beast` number, since 1 + 0 + 11 + 320 + 10 + 321 + 0 + 3 = 666.

It is not a de Polignac number, because 10113201032103 - 21 = 10113201032101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113201032101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107711128 + ... + 107804978.

It is an arithmetic number, because the mean of its divisors is an integer number (266957321400).

Almost surely, 210113201032103 is an apocalyptic number.

10113201032103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10113201032103 is a deficient number, since it is larger than the sum of its proper divisors (6972067537497).

10113201032103 is a wasteful number, since it uses less digits than its factorization.

10113201032103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111949 (or 111943 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10113201032103 its reverse (30123010231101), we get a palindrome (40236211263204).

The spelling of 10113201032103 in words is "ten trillion, one hundred thirteen billion, two hundred one million, thirty-two thousand, one hundred three".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 459 663 1989 5967 18059 54177 93851 162531 234767 281553 307003 487593 704301 844659 921009 1220063 1595467 2112903 2533977 2763027 3660189 3991039 4786401 6338709 8289081 10980567 11973117 14359203 20741071 32941701 35919351 43077609 62223213 107758053 186669639 560008917 1694855209 5084565627 15253696881 22033117717 28812538553 45761090643 66099353151 86437615659 198298059453 259312846977 374563001189 594894178359 777938540931 1123689003567 3371067010701 10113201032103