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102131100001 = 7291818393313
BaseRepresentation
bin101111100011101111…
…1001110100101100001
3100202121200200102212101
41133013133032211201
53133131030200001
6114530211530401
710243622012020
oct1370737164541
9322550612771
10102131100001
113a34a386077
12179635b9a01
139828199168
144d2c0c48b7
1529cb396a01
hex17c77ce961

102131100001 has 32 divisors (see below), whose sum is σ = 121594636800. Its totient is φ = 83929789440.

The previous prime is 102131099977. The next prime is 102131100017. The reversal of 102131100001 is 100001131201.

It is not a de Polignac number, because 102131100001 - 211 = 102131097953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102131100041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30825721 + ... + 30829033.

It is an arithmetic number, because the mean of its divisors is an integer number (3799832400).

Almost surely, 2102131100001 is an apocalyptic number.

It is an amenable number.

102131100001 is a deficient number, since it is larger than the sum of its proper divisors (19463536799).

102131100001 is a wasteful number, since it uses less digits than its factorization.

102131100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4369.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 102131100001 its reverse (100001131201), we get a palindrome (202132231202).

The spelling of 102131100001 in words is "one hundred two billion, one hundred thirty-one million, one hundred thousand, one".

Divisors: 1 7 29 181 203 839 1267 3313 5249 5873 23191 24331 36743 96077 151859 170317 599653 672539 1063013 2779607 4197571 4403911 17389937 19457249 30827377 80608603 121729559 503108867 564260221 3521762069 14590157143 102131100001