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35413413201037 is a prime number
BaseRepresentation
bin10000000110101010100111…
…11010100000010010001101
311122101111012122200110121201
420003111103322200102031
514120203132234413122
6203152410351225501
710313351251362634
oct1003252372402215
9148344178613551
1035413413201037
1110313820587423
123b7b434518291
13169b6169c76a1
148a60384a051b
154162b6765a27
hex203553ea048d

35413413201037 has 2 divisors, whose sum is σ = 35413413201038. Its totient is φ = 35413413201036.

The previous prime is 35413413200969. The next prime is 35413413201191. The reversal of 35413413201037 is 73010231431453.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32351819633956 + 3061593567081 = 5687866^2 + 1749741^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-35413413201037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35413413200987 and 35413413201005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35413413201437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17706706600518 + 17706706600519.

It is an arithmetic number, because the mean of its divisors is an integer number (17706706600519).

Almost surely, 235413413201037 is an apocalyptic number.

It is an amenable number.

35413413201037 is a deficient number, since it is larger than the sum of its proper divisors (1).

35413413201037 is an equidigital number, since it uses as much as digits as its factorization.

35413413201037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 35413413201037 in words is "thirty-five trillion, four hundred thirteen billion, four hundred thirteen million, two hundred one thousand, thirty-seven".