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212057465153 is a prime number
BaseRepresentation
bin1100010101111110011…
…1000010000101000001
3202021100122112101012212
43011133213002011001
511433243202341103
6241230131231505
721214660466432
oct3053747020501
9667318471185
10212057465153
1181a29a02236
1235121748595
1316cc6353c41
14a3995bb489
1557b1c967d8
hex315f9c2141

212057465153 has 2 divisors, whose sum is σ = 212057465154. Its totient is φ = 212057465152.

The previous prime is 212057465077. The next prime is 212057465233. The reversal of 212057465153 is 351564750212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211809811984 + 247653169 = 460228^2 + 15737^2 .

It is a cyclic number.

It is not a de Polignac number, because 212057465153 - 226 = 211990356289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212057465153.

It is not a weakly prime, because it can be changed into another prime (212057465353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106028732576 + 106028732577.

It is an arithmetic number, because the mean of its divisors is an integer number (106028732577).

Almost surely, 2212057465153 is an apocalyptic number.

It is an amenable number.

212057465153 is a deficient number, since it is larger than the sum of its proper divisors (1).

212057465153 is an equidigital number, since it uses as much as digits as its factorization.

212057465153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 212057465153 in words is "two hundred twelve billion, fifty-seven million, four hundred sixty-five thousand, one hundred fifty-three".