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10035853001 = 531229154073
BaseRepresentation
bin10010101100010111…
…01111011011001001
3221220102020011012022
421112023233123021
5131023134244001
64335503054225
7503461225436
oct112613573311
927812204168
1010035853001
11428aa82999
121b40ba1375
13c3c261575
146b2c16b8d
153db0e111b
hex2562ef6c9

10035853001 has 8 divisors (see below), whose sum is σ = 10233595080. Its totient is φ = 9838421632.

The previous prime is 10035852973. The next prime is 10035853019.

10035853001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2057076025 + 7978776976 = 45355^2 + 89324^2 .

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 10035853001 - 210 = 10035851977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10035853021) 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 7 ways as a sum of consecutive naturals, for example, 11900 + ... + 142173.

It is an arithmetic number, because the mean of its divisors is an integer number (1279199385).

Almost surely, 210035853001 is an apocalyptic number.

It is an amenable number.

10035853001 is a deficient number, since it is larger than the sum of its proper divisors (197742079).

10035853001 is a wasteful number, since it uses less digits than its factorization.

10035853001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155355.

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 10035853001 in words is "ten billion, thirty-five million, eight hundred fifty-three thousand, one".

Divisors: 1 53 1229 65137 154073 8165869 189355717 10035853001