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100131120301 is a prime number
BaseRepresentation
bin101110101000001000…
…1111010010010101101
3100120110022100221111011
41131100101322102231
53120032031322201
6113555525225221
710143225323302
oct1352021722255
9316408327434
10100131120301
1139513452793
12174a5862211
139599a2b114
144bbc6330a9
1529109da151
hex175047a4ad

100131120301 has 2 divisors, whose sum is σ = 100131120302. Its totient is φ = 100131120300.

The previous prime is 100131120277. The next prime is 100131120329. The reversal of 100131120301 is 103021131001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67451881225 + 32679239076 = 259715^2 + 180774^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131120301 - 229 = 99594249389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100131120391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065560150 + 50065560151.

It is an arithmetic number, because the mean of its divisors is an integer number (50065560151).

Almost surely, 2100131120301 is an apocalyptic number.

It is an amenable number.

100131120301 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131120301 is an equidigital number, since it uses as much as digits as its factorization.

100131120301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100131120301 its reverse (103021131001), we get a palindrome (203152251302).

The spelling of 100131120301 in words is "one hundred billion, one hundred thirty-one million, one hundred twenty thousand, three hundred one".