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10003302103131 = 3223457105744269
BaseRepresentation
bin1001000110010001001101…
…0001001011100001011011
31022102022021022201110202100
42101210103101023201123
52302343230314300011
633135241544334443
72051500102636161
oct221442321134133
938368238643670
1010003302103131
113207416284a77
121156859774423
135773cc2c5bbc
1426823b8d5231
1512531ecadd56
hex9191344b85b

10003302103131 has 24 divisors (see below), whose sum is σ = 15110433205920. Its totient is φ = 6364958979456.

The previous prime is 10003302103129. The next prime is 10003302103147. The reversal of 10003302103131 is 13130120330001.

It is a happy number.

10003302103131 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 330 + 21 + 0 + 313 + 1 = 666.

It is not a de Polignac number, because 10003302103131 - 21 = 10003302103129 is a prime.

It is a super-2 number, since 2×100033021031312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10003302103931) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 52777536 + ... + 52966733.

It is an arithmetic number, because the mean of its divisors is an integer number (629601383580).

Almost surely, 210003302103131 is an apocalyptic number.

10003302103131 is a deficient number, since it is larger than the sum of its proper divisors (5107131102789).

10003302103131 is a wasteful number, since it uses less digits than its factorization.

10003302103131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105744755 (or 105744752 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10003302103131 its reverse (13130120330001), we get a palindrome (23133422433132).

The spelling of 10003302103131 in words is "ten trillion, three billion, three hundred two million, one hundred three thousand, one hundred thirty-one".

Divisors: 1 3 9 23 69 207 457 1371 4113 10511 31533 94599 105744269 317232807 951698421 2432118187 7296354561 21889063683 48325130933 144975392799 434926178397 1111478011459 3334434034377 10003302103131