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103033213 is a prime number
BaseRepresentation
bin1100010010000…
…10100101111101
321011212121222221
412021002211331
5202334030323
614120205341
72360524243
oct611024575
9234777887
10103033213
1153183418
122a609851
13184662ca
14d980793
1590a355d
hex624297d

103033213 has 2 divisors, whose sum is σ = 103033214. Its totient is φ = 103033212.

The previous prime is 103033211. The next prime is 103033237. The reversal of 103033213 is 312330301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94051204 + 8982009 = 9698^2 + 2997^2 .

It is a cyclic number.

It is not a de Polignac number, because 103033213 - 21 = 103033211 is a prime.

It is a super-2 number, since 2×1030332132 = 21231685962206738, which contains 22 as substring.

Together with 103033211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103033211) 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, 51516606 + 51516607.

It is an arithmetic number, because the mean of its divisors is an integer number (51516607).

Almost surely, 2103033213 is an apocalyptic number.

It is an amenable number.

103033213 is a deficient number, since it is larger than the sum of its proper divisors (1).

103033213 is an equidigital number, since it uses as much as digits as its factorization.

103033213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 103033213 is about 10150.5277202715. The cubic root of 103033213 is about 468.8051936668.

Adding to 103033213 its reverse (312330301), we get a palindrome (415363514).

It can be divided in two parts, 1030 and 33213, that added together give a palindrome (34243).

The spelling of 103033213 in words is "one hundred three million, thirty-three thousand, two hundred thirteen".