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312202214133401 is a prime number
BaseRepresentation
bin100011011111100100011111…
…0000100100100111010011001
31111221102020111002121000011202
41012333020332010210322121
5311410110113304232101
63023555414525003545
7122521602623332034
oct10677107604447231
91457366432530152
10312202214133401
1190528240868739
122b022a699b35b5
1310528708a53277
14571494c5b201b
1526161692b336b
hex11bf23e124e99

312202214133401 has 2 divisors, whose sum is σ = 312202214133402. Its totient is φ = 312202214133400.

The previous prime is 312202214133391. The next prime is 312202214133487. The reversal of 312202214133401 is 104331412202213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 307369796761225 + 4832417372176 = 17531965^2 + 2198276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312202214133401 is a prime.

It is a super-2 number, since 2×3122022141334012 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312202214133001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156101107066700 + 156101107066701.

It is an arithmetic number, because the mean of its divisors is an integer number (156101107066701).

Almost surely, 2312202214133401 is an apocalyptic number.

It is an amenable number.

312202214133401 is a deficient number, since it is larger than the sum of its proper divisors (1).

312202214133401 is an equidigital number, since it uses as much as digits as its factorization.

312202214133401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 312202214133401 its reverse (104331412202213), we get a palindrome (416533626335614).

The spelling of 312202214133401 in words is "three hundred twelve trillion, two hundred two billion, two hundred fourteen million, one hundred thirty-three thousand, four hundred one".