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10101535041 = 3131913632301
BaseRepresentation
bin10010110100001100…
…10011000101000001
3222001222211011000110
421122012103011001
5131141443110131
64350210541533
7505216426323
oct113206230501
928058734013
1010101535041
114314064874
121b5ab978a9
13c4ca4a890
146bb833613
153e1c67646
hex25a193141

10101535041 has 16 divisors (see below), whose sum is σ = 15268178240. Its totient is φ = 5889153600.

The previous prime is 10101535021. The next prime is 10101535049. The reversal of 10101535041 is 14053510101.

It is a happy number.

10101535041 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10101535041 - 25 = 10101535009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101534999 and 10101535017.

It is not an unprimeable number, because it can be changed into a prime (10101535049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6815410 + ... + 6816891.

It is an arithmetic number, because the mean of its divisors is an integer number (954261140).

Almost surely, 210101535041 is an apocalyptic number.

It is an amenable number.

10101535041 is a deficient number, since it is larger than the sum of its proper divisors (5166643199).

10101535041 is a wasteful number, since it uses less digits than its factorization.

10101535041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13632336.

The product of its (nonzero) digits is 300, while the sum is 21.

The spelling of 10101535041 in words is "ten billion, one hundred one million, five hundred thirty-five thousand, forty-one".

Divisors: 1 3 13 19 39 57 247 741 13632301 40896903 177219913 259013719 531659739 777041157 3367178347 10101535041