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10201210201 = 713298346573
BaseRepresentation
bin10011000000000101…
…00001110101011001
3222022221101011122001
421200002201311121
5131343002211301
64404131201001
7510536566420
oct114002416531
928287334561
1010201210201
114365354236
121b88446161
13c675a9570
146cab7c2b7
153ea8a5c01
hex2600a1d59

10201210201 has 32 divisors (see below), whose sum is σ = 13145045760. Its totient is φ = 7698910464.

The previous prime is 10201210189. The next prime is 10201210231.

10201210201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10201210201 - 221 = 10199113049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201210231) 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 31 ways as a sum of consecutive naturals, for example, 195751 + ... + 242323.

It is an arithmetic number, because the mean of its divisors is an integer number (410782680).

Almost surely, 210201210201 is an apocalyptic number.

It is an amenable number.

10201210201 is a deficient number, since it is larger than the sum of its proper divisors (2943835559).

10201210201 is a wasteful number, since it uses less digits than its factorization.

10201210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46705.

The product of its (nonzero) digits is 8, while the sum is 10.

The spelling of 10201210201 in words is "ten billion, two hundred one million, two hundred ten thousand, two hundred one".

Divisors: 1 7 13 29 83 91 203 377 581 1079 2407 2639 7553 16849 31291 46573 219037 326011 605449 1350617 3865559 4238143 9454319 17558021 27058913 50252267 112101211 122906147 351765869 784708477 1457315743 10201210201