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100132213 is a prime number
BaseRepresentation
bin1011111011111…
…10010101110101
320222102020120111
411331332111311
5201113212323
613534103021
72324052436
oct575762565
9228366514
10100132213
11515818a5
122964aa71
131798ba3c
14d42748d
158bcdc0d
hex5f7e575

100132213 has 2 divisors, whose sum is σ = 100132214. Its totient is φ = 100132212.

The previous prime is 100132189. The next prime is 100132217. The reversal of 100132213 is 312231001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51940849 + 48191364 = 7207^2 + 6942^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100132213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100132193 and 100132202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100132217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066106 + 50066107.

It is an arithmetic number, because the mean of its divisors is an integer number (50066107).

Almost surely, 2100132213 is an apocalyptic number.

It is an amenable number.

100132213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100132213 is an equidigital number, since it uses as much as digits as its factorization.

100132213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 100132213 is about 10006.6084664086. The cubic root of 100132213 is about 464.3633527375.

Adding to 100132213 its reverse (312231001), we get a palindrome (412363214).

The spelling of 100132213 in words is "one hundred million, one hundred thirty-two thousand, two hundred thirteen".