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10042266301 = 127178744249
BaseRepresentation
bin10010101101001000…
…01101001010111101
3221220212021222120221
421112210031022331
5131031310010201
64340252341341
7503566566214
oct112644151275
927825258527
1010042266301
114293663341
121b43174851
13c40698712
146b3a0607b
153db95b4a1
hex25690d2bd

10042266301 has 8 divisors (see below), whose sum is σ = 10127232000. Its totient is φ = 9957392928.

The previous prime is 10042266281. The next prime is 10042266329. The reversal of 10042266301 is 10366224001.

10042266301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10042266301 - 27 = 10042266173 is a prime.

It is a super-2 number, since 2×100422663012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042296301) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 204825 + ... + 249073.

It is an arithmetic number, because the mean of its divisors is an integer number (1265904000).

Almost surely, 210042266301 is an apocalyptic number.

It is an amenable number.

10042266301 is a deficient number, since it is larger than the sum of its proper divisors (84965699).

10042266301 is a wasteful number, since it uses less digits than its factorization.

10042266301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46163.

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 10042266301 in words is "ten billion, forty-two million, two hundred sixty-six thousand, three hundred one".

Divisors: 1 127 1787 44249 226949 5619623 79072963 10042266301