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312212121029 is a prime number
BaseRepresentation
bin1001000101100010100…
…10101110010111000101
31002211212121012001102222
410202301102232113011
520103402300333104
6355232301142125
731361623145624
oct4426122562705
91084777161388
10312212121029
1111045466a606
125061325a945
1323597c02823
141117adb96bb
1581c48801be
hex48b14ae5c5

312212121029 has 2 divisors, whose sum is σ = 312212121030. Its totient is φ = 312212121028.

The previous prime is 312212120999. The next prime is 312212121041. The reversal of 312212121029 is 920121212213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201574060900 + 110638060129 = 448970^2 + 332623^2 .

It is a cyclic number.

It is not a de Polignac number, because 312212121029 - 212 = 312212116933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312212120989 and 312212121007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312232121029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156106060514 + 156106060515.

It is an arithmetic number, because the mean of its divisors is an integer number (156106060515).

Almost surely, 2312212121029 is an apocalyptic number.

It is an amenable number.

312212121029 is a deficient number, since it is larger than the sum of its proper divisors (1).

312212121029 is an equidigital number, since it uses as much as digits as its factorization.

312212121029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 312212121029 in words is "three hundred twelve billion, two hundred twelve million, one hundred twenty-one thousand, twenty-nine".