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4100131333 is a prime number
BaseRepresentation
bin1111010001100011…
…0000101000000101
3101120202010020211001
43310120300220011
531344113200313
61514504013301
7203414353444
oct36430605005
911522106731
104100131333
1118144653a1
12965161231
135045acc1c
142ac77ad5b
1518ee53add
hexf4630a05

4100131333 has 2 divisors, whose sum is σ = 4100131334. Its totient is φ = 4100131332.

The previous prime is 4100131291. The next prime is 4100131367. The reversal of 4100131333 is 3331310014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3659887009 + 440244324 = 60497^2 + 20982^2 .

It is a cyclic number.

It is not a de Polignac number, because 4100131333 - 213 = 4100123141 is a prime.

It is a super-2 number, since 2×41001313332 = 33622153895696713778, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4100131333.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4100131033) 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 as a sum of consecutive naturals, namely, 2050065666 + 2050065667.

It is an arithmetic number, because the mean of its divisors is an integer number (2050065667).

Almost surely, 24100131333 is an apocalyptic number.

It is an amenable number.

4100131333 is a deficient number, since it is larger than the sum of its proper divisors (1).

4100131333 is an equidigital number, since it uses as much as digits as its factorization.

4100131333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 4100131333 is about 64032.2679045495. The cubic root of 4100131333 is about 1600.5377532275.

Adding to 4100131333 its reverse (3331310014), we get a palindrome (7431441347).

The spelling of 4100131333 in words is "four billion, one hundred million, one hundred thirty-one thousand, three hundred thirty-three".