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10114041042028 = 22711291132337779
BaseRepresentation
bin1001001100101101101111…
…0100101101010001101100
31022210220002220120102201201
42103023123310231101230
52311202024001321103
633302154252215244
72062500236246350
oct223133364552154
938726086512651
1010114041042028
11324a38254a890
121174203a6a524
13584999916a51
1426d744cab460
15128151bbb51d
hex932dbd2d46c

10114041042028 has 48 divisors (see below), whose sum is σ = 22827929644800. Its totient is φ = 3804654934080.

The previous prime is 10114041041989. The next prime is 10114041042029. The reversal of 10114041042028 is 82024014041101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10114041041987 and 10114041042005.

It is not an unprimeable number, because it can be changed into a prime (10114041042029) 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, 566159958 + ... + 566177821.

It is an arithmetic number, because the mean of its divisors is an integer number (475581867600).

Almost surely, 210114041042028 is an apocalyptic number.

It is an amenable number.

10114041042028 is an abundant number, since it is smaller than the sum of its proper divisors (12713888602772).

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

10114041042028 is a wasteful number, since it uses less digits than its factorization.

10114041042028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132337830 (or 1132337828 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

Adding to 10114041042028 its reverse (82024014041101), we get a palindrome (92138055083129).

The spelling of 10114041042028 in words is "ten trillion, one hundred fourteen billion, forty-one million, forty-two thousand, twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 812 1276 2233 4466 8932 1132337779 2264675558 4529351116 7926364453 12455715569 15852728906 24911431138 31705457812 32837795591 49822862276 65675591182 87190008983 131351182364 174380017966 229864569137 348760035932 361215751501 459729138274 722431503002 919458276548 1444863006004 2528510260507 5057020521014 10114041042028