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214702573153 is a prime number
BaseRepresentation
bin1100011111110101000…
…1010100011001100001
3202112011222202210020211
43013331101110121201
512004202324320103
6242344421134121
721340346521525
oct3077521243141
9675158683224
10214702573153
1183067007002
123573b55a341
131732835b6c3
14a56aa01d85
1558b90d736d
hex31fd454661

214702573153 has 2 divisors, whose sum is σ = 214702573154. Its totient is φ = 214702573152.

The previous prime is 214702573121. The next prime is 214702573177. The reversal of 214702573153 is 351375207412.

It is a happy number.

214702573153 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., 210468077824 + 4234495329 = 458768^2 + 65073^2 .

It is a cyclic number.

It is not a de Polignac number, because 214702573153 - 25 = 214702573121 is a prime.

It is a super-2 number, since 2×2147025731532 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (214702570153) 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, 107351286576 + 107351286577.

It is an arithmetic number, because the mean of its divisors is an integer number (107351286577).

Almost surely, 2214702573153 is an apocalyptic number.

It is an amenable number.

214702573153 is a deficient number, since it is larger than the sum of its proper divisors (1).

214702573153 is an equidigital number, since it uses as much as digits as its factorization.

214702573153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 214702573153 in words is "two hundred fourteen billion, seven hundred two million, five hundred seventy-three thousand, one hundred fifty-three".