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10002242042 = 21329371372617
BaseRepresentation
bin10010101000010111…
…00001100111111010
3221211001222112121222
421110023201213322
5130441033221132
64332302432042
7502602440342
oct112413414772
927731875558
1010002242042
114273006541
121b31892622
13c352c3b20
146ac587d22
153d81a2412
hex2542e19fa

10002242042 has 64 divisors (see below), whose sum is σ = 17298277920. Its totient is φ = 4303466496.

The previous prime is 10002242027. The next prime is 10002242053. The reversal of 10002242042 is 24024220001.

It is a happy number.

10002242042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 5102102041 + 4900140001 = 71429^2 + 70001^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10002242042.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3820718 + ... + 3823334.

Almost surely, 210002242042 is an apocalyptic number.

10002242042 is a deficient number, since it is larger than the sum of its proper divisors (7296035878).

10002242042 is a wasteful number, since it uses less digits than its factorization.

10002242042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835.

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 10002242042 its reverse (24024220001), we get a palindrome (34026462043).

The spelling of 10002242042 in words is "ten billion, two million, two hundred forty-two thousand, forty-two".

Divisors: 1 2 13 26 29 37 58 74 137 274 377 481 754 962 1073 1781 2146 2617 3562 3973 5069 5234 7946 10138 13949 27898 34021 51649 65897 68042 75893 96829 103298 131794 147001 151786 193658 294002 358529 717058 986609 1258777 1911013 1973218 2517554 2808041 3822026 4660877 5616082 9321754 10397341 13265573 20794682 26531146 36504533 73009066 135165433 172452449 270330866 344904898 384701617 769403234 5001121021 10002242042