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10012221102033 = 331474725145657
BaseRepresentation
bin1001000110110010011011…
…1000011101011111010001
31022110011021220101120011000
42101230212320131133101
52303020012100231113
633143314553412213
72052234113114343
oct221544670353721
938404256346130
1010012221102033
113210182880947
12115852870a069
135781c1055247
14268846263293
15125692cda373
hex91b26e1d7d1

10012221102033 has 16 divisors (see below), whose sum is σ = 14833926567360. Its totient is φ = 6674361180768.

The previous prime is 10012221102019. The next prime is 10012221102047. The reversal of 10012221102033 is 33020112221001.

It is an interprime number because it is at equal distance from previous prime (10012221102019) and next prime (10012221102047).

It is not a de Polignac number, because 10012221102033 - 25 = 10012221102001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012221101997 and 10012221102015.

It is not an unprimeable number, because it can be changed into a prime (10012221103033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12174660 + ... + 12970997.

It is an arithmetic number, because the mean of its divisors is an integer number (927120410460).

Almost surely, 210012221102033 is an apocalyptic number.

It is an amenable number.

10012221102033 is a deficient number, since it is larger than the sum of its proper divisors (4821705465327).

10012221102033 is a wasteful number, since it uses less digits than its factorization.

10012221102033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25160413 (or 25160407 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10012221102033 its reverse (33020112221001), we get a palindrome (43032333323034).

The spelling of 10012221102033 in words is "ten trillion, twelve billion, two hundred twenty-one million, one hundred two thousand, thirty-three".

Divisors: 1 3 9 27 14747 44241 132723 398169 25145657 75436971 226310913 678932739 370823003779 1112469011337 3337407034011 10012221102033