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213497953 is a prime number
BaseRepresentation
bin11001011100110…
…11100001100001
3112212201211010121
430232123201201
5414123413303
633104000241
75201463004
oct1456334141
9485654117
10213497953
11aa572199
125b600081
1335302066
14204d753b
1513b239bd
hexcb9b861

213497953 has 2 divisors, whose sum is σ = 213497954. Its totient is φ = 213497952.

The previous prime is 213497909. The next prime is 213497959. The reversal of 213497953 is 359794312.

213497953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122257249 + 91240704 = 11057^2 + 9552^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213497953 is a prime.

It is not a weakly prime, because it can be changed into another prime (213497959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106748976 + 106748977.

It is an arithmetic number, because the mean of its divisors is an integer number (106748977).

Almost surely, 2213497953 is an apocalyptic number.

It is an amenable number.

213497953 is a deficient number, since it is larger than the sum of its proper divisors (1).

213497953 is an equidigital number, since it uses as much as digits as its factorization.

213497953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 204120, while the sum is 43.

The square root of 213497953 is about 14611.5691491366. The cubic root of 213497953 is about 597.6742865576.

The spelling of 213497953 in words is "two hundred thirteen million, four hundred ninety-seven thousand, nine hundred fifty-three".