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312148553 is a prime number
BaseRepresentation
bin10010100110110…
…000001001001001
3210202100210022112
4102212300021021
51114402223203
650550232105
710510135043
oct2246601111
9722323275
10312148553
11150221912
1288655635
134c8925b2
142d656a93
151c60d6d8
hex129b0249

312148553 has 2 divisors, whose sum is σ = 312148554. Its totient is φ = 312148552.

The previous prime is 312148537. The next prime is 312148591. The reversal of 312148553 is 355841213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310887424 + 1261129 = 17632^2 + 1123^2 .

It is a cyclic number.

It is not a de Polignac number, because 312148553 - 24 = 312148537 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312148453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156074276 + 156074277.

It is an arithmetic number, because the mean of its divisors is an integer number (156074277).

Almost surely, 2312148553 is an apocalyptic number.

It is an amenable number.

312148553 is a deficient number, since it is larger than the sum of its proper divisors (1).

312148553 is an equidigital number, since it uses as much as digits as its factorization.

312148553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14400, while the sum is 32.

The square root of 312148553 is about 17667.7263109886. The cubic root of 312148553 is about 678.3499156756.

Adding to 312148553 its reverse (355841213), we get a palindrome (667989766).

The spelling of 312148553 in words is "three hundred twelve million, one hundred forty-eight thousand, five hundred fifty-three".