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34013213013421 is a prime number
BaseRepresentation
bin1111011101111010100010…
…11110101011010110101101
311110102122001022000002100201
413232331101132223112231
513424233030012412141
6200201242045553501
710110242061224335
oct756752136532655
9143378038002321
1034013213013421
11a923a17029224
123993ba4275891
1315c958079c005
148583694640c5
153deb65c61031
hex1eef517ab5ad

34013213013421 has 2 divisors, whose sum is σ = 34013213013422. Its totient is φ = 34013213013420.

The previous prime is 34013213013413. The next prime is 34013213013431. The reversal of 34013213013421 is 12431031231043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33349631707396 + 663581306025 = 5774914^2 + 814605^2 .

It is a cyclic number.

It is not a de Polignac number, because 34013213013421 - 23 = 34013213013413 is a prime.

It is a super-2 number, since 2×340132130134212 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34013213013421.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34013213013431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17006606506710 + 17006606506711.

It is an arithmetic number, because the mean of its divisors is an integer number (17006606506711).

Almost surely, 234013213013421 is an apocalyptic number.

It is an amenable number.

34013213013421 is a deficient number, since it is larger than the sum of its proper divisors (1).

34013213013421 is an equidigital number, since it uses as much as digits as its factorization.

34013213013421 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 34013213013421 its reverse (12431031231043), we get a palindrome (46444244244464).

The spelling of 34013213013421 in words is "thirty-four trillion, thirteen billion, two hundred thirteen million, thirteen thousand, four hundred twenty-one".