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212100400153 is a prime number
BaseRepresentation
bin1100010110001000101…
…0110100010000011001
3202021110122022200222001
43011202022310100121
511433340200301103
6241234303401001
721216021440365
oct3054212642031
9667418280861
10212100400153
1181a51167a04
1235133bb3161
1317002207675
14a3a11962a5
1557b592801d
hex31622b4419

212100400153 has 2 divisors, whose sum is σ = 212100400154. Its totient is φ = 212100400152.

The previous prime is 212100400151. The next prime is 212100400177. The reversal of 212100400153 is 351004001212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209922497929 + 2177902224 = 458173^2 + 46668^2 .

It is a cyclic number.

It is not a de Polignac number, because 212100400153 - 21 = 212100400151 is a prime.

Together with 212100400151, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 212100400153.

It is not a weakly prime, because it can be changed into another prime (212100400151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050200076 + 106050200077.

It is an arithmetic number, because the mean of its divisors is an integer number (106050200077).

Almost surely, 2212100400153 is an apocalyptic number.

It is an amenable number.

212100400153 is a deficient number, since it is larger than the sum of its proper divisors (1).

212100400153 is an equidigital number, since it uses as much as digits as its factorization.

212100400153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 212100400153 its reverse (351004001212), we get a palindrome (563104401365).

The spelling of 212100400153 in words is "two hundred twelve billion, one hundred million, four hundred thousand, one hundred fifty-three".