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100241340201 = 3265211708009
BaseRepresentation
bin101110101011011011…
…0010111011100101001
3100120201222202200202200
41131112312113130221
53120243240341301
6114014503450413
710146034222152
oct1352666273451
9316658680680
10100241340201
113956a694612
1217516756a09
1395b680c5b2
144bcd124929
15291a50cc86
hex1756d97729

100241340201 has 12 divisors (see below), whose sum is σ = 144815335860. Its totient is φ = 66817272960.

The previous prime is 100241340193. The next prime is 100241340203. The reversal of 100241340201 is 102043142001.

100241340201 is a `hidden beast` number, since 10 + 0 + 2 + 413 + 40 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84651320601 + 15590019600 = 290949^2 + 124860^2 .

It is not a de Polignac number, because 100241340201 - 23 = 100241340193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100241340203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795316 + ... + 912693.

It is an arithmetic number, because the mean of its divisors is an integer number (12067944655).

Almost surely, 2100241340201 is an apocalyptic number.

It is an amenable number.

100241340201 is a deficient number, since it is larger than the sum of its proper divisors (44573995659).

100241340201 is a wasteful number, since it uses less digits than its factorization.

100241340201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714536 (or 1714533 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100241340201 its reverse (102043142001), we get a palindrome (202284482202).

The spelling of 100241340201 in words is "one hundred billion, two hundred forty-one million, three hundred forty thousand, two hundred one".

Divisors: 1 3 9 6521 19563 58689 1708009 5124027 15372081 11137926689 33413780067 100241340201