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1414131101 is a prime number
BaseRepresentation
bin101010001001001…
…1110110110011101
310122112221022011222
41110102132312131
510344004143401
6352153423125
750020626125
oct12422366635
93575838158
101414131101
11666270699
1233570aaa5
13196c88786
14d5b4dc85
1584236c1b
hex5449ed9d

1414131101 has 2 divisors, whose sum is σ = 1414131102. Its totient is φ = 1414131100.

The previous prime is 1414131091. The next prime is 1414131119. The reversal of 1414131101 is 1011314141.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1411805476 + 2325625 = 37574^2 + 1525^2 .

It is a cyclic number.

It is not a de Polignac number, because 1414131101 - 210 = 1414130077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1414131101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1414130101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 707065550 + 707065551.

It is an arithmetic number, because the mean of its divisors is an integer number (707065551).

Almost surely, 21414131101 is an apocalyptic number.

It is an amenable number.

1414131101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1414131101 is an equidigital number, since it uses as much as digits as its factorization.

1414131101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 1414131101 is about 37604.9345299257. The cubic root of 1414131101 is about 1122.4402313403.

Adding to 1414131101 its reverse (1011314141), we get a palindrome (2425445242).

The spelling of 1414131101 in words is "one billion, four hundred fourteen million, one hundred thirty-one thousand, one hundred one".