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34123220403161 is a prime number
BaseRepresentation
bin1111100001000111011100…
…11011100100001111011001
311110211010222220022111112212
413300203232123210033121
513433033323410400121
6200323554022044505
710121215132503251
oct760435633441731
9143733886274485
1034123220403161
11a96663836635a
1239b1385579735
131606a62685636
1485d80360c961
153e295381825b
hex1f08ee6e43d9

34123220403161 has 2 divisors, whose sum is σ = 34123220403162. Its totient is φ = 34123220403160.

The previous prime is 34123220403059. The next prime is 34123220403179. The reversal of 34123220403161 is 16130402232143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29253170304400 + 4870050098761 = 5408620^2 + 2206819^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34123220403161 is a prime.

It is not a weakly prime, because it can be changed into another prime (34123220403661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17061610201580 + 17061610201581.

It is an arithmetic number, because the mean of its divisors is an integer number (17061610201581).

Almost surely, 234123220403161 is an apocalyptic number.

It is an amenable number.

34123220403161 is a deficient number, since it is larger than the sum of its proper divisors (1).

34123220403161 is an equidigital number, since it uses as much as digits as its factorization.

34123220403161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 34123220403161 in words is "thirty-four trillion, one hundred twenty-three billion, two hundred twenty million, four hundred three thousand, one hundred sixty-one".