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10042424305123 = 723312012106653
BaseRepresentation
bin1001001000100010111100…
…1000100010010111100011
31022120001020211001020202111
42102020233020202113203
52304013341110230443
633205232005100151
72054353431111130
oct222105710422743
938501224036674
1010042424305123
113221a71795411
1211623576b7657
1357acc5556552
1426a0ad685587
1512635e6a269d
hex9222f2225e3

10042424305123 has 16 divisors (see below), whose sum is σ = 12362383282176. Its totient is φ = 7967942341920.

The previous prime is 10042424305117. The next prime is 10042424305127. The reversal of 10042424305123 is 32150342424001.

It is a cyclic number.

It is not a de Polignac number, because 10042424305123 - 29 = 10042424304611 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (10042424305127) 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 15 ways as a sum of consecutive naturals, for example, 1006048336 + ... + 1006058317.

It is an arithmetic number, because the mean of its divisors is an integer number (772648955136).

Almost surely, 210042424305123 is an apocalyptic number.

10042424305123 is a deficient number, since it is larger than the sum of its proper divisors (2319958977053).

10042424305123 is a wasteful number, since it uses less digits than its factorization.

10042424305123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012106714.

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 10042424305123 its reverse (32150342424001), we get a palindrome (42192766729124).

The spelling of 10042424305123 in words is "ten trillion, forty-two billion, four hundred twenty-four million, three hundred five thousand, one hundred twenty-three".

Divisors: 1 7 23 31 161 217 713 4991 2012106653 14084746571 46278453019 62375306243 323949171133 436627143701 1434632043589 10042424305123