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8122413313 = 72165763537
BaseRepresentation
bin1111001000010001…
…00011000100000001
3202222001202100101201
413210020203010001
5113113314211223
63421551301201
7405165242200
oct74410430401
922861670351
108122413313
113498988383
1216a821a801
139c5a03631
14570a51237
1532812aead
hex1e4223101

8122413313 has 6 divisors (see below), whose sum is σ = 9448521666. Its totient is φ = 6962068512.

The previous prime is 8122413259. The next prime is 8122413329. The reversal of 8122413313 is 3133142218.

It can be written as a sum of positive squares in only one way, i.e., 7883308944 + 239104369 = 88788^2 + 15463^2 .

It is a de Polignac number, because none of the positive numbers 2k-8122413313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8122413353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82881720 + ... + 82881817.

It is an arithmetic number, because the mean of its divisors is an integer number (1574753611).

Almost surely, 28122413313 is an apocalyptic number.

It is an amenable number.

8122413313 is a deficient number, since it is larger than the sum of its proper divisors (1326108353).

8122413313 is a wasteful number, since it uses less digits than its factorization.

8122413313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165763551 (or 165763544 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 8122413313 is about 90124.4323865621. The cubic root of 8122413313 is about 2010.1495159522.

The spelling of 8122413313 in words is "eight billion, one hundred twenty-two million, four hundred thirteen thousand, three hundred thirteen".

Divisors: 1 7 49 165763537 1160344759 8122413313