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34130131033 is a prime number
BaseRepresentation
bin11111110010010100…
…000111100001011001
310021002120212022001011
4133302110013201121
51024344303143113
623402411053521
72315530220125
oct376224074131
9107076768034
1034130131033
1113524629669
1267461412a1
1332abc49b0b
14191ab94585
15d4b50663d
hex7f2507859

34130131033 has 2 divisors, whose sum is σ = 34130131034. Its totient is φ = 34130131032.

The previous prime is 34130130967. The next prime is 34130131051. The reversal of 34130131033 is 33013103143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22671927184 + 11458203849 = 150572^2 + 107043^2 .

It is a cyclic number.

It is not a de Polignac number, because 34130131033 - 221 = 34128033881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34130130995 and 34130131013.

It is not a weakly prime, because it can be changed into another prime (34130131093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17065065516 + 17065065517.

It is an arithmetic number, because the mean of its divisors is an integer number (17065065517).

Almost surely, 234130131033 is an apocalyptic number.

It is an amenable number.

34130131033 is a deficient number, since it is larger than the sum of its proper divisors (1).

34130131033 is an equidigital number, since it uses as much as digits as its factorization.

34130131033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 34130131033 its reverse (33013103143), we get a palindrome (67143234176).

The spelling of 34130131033 in words is "thirty-four billion, one hundred thirty million, one hundred thirty-one thousand, thirty-three".