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6992130301 = 131493609773
BaseRepresentation
bin1101000001100001…
…10111000011111101
3200001021221000120221
412200300313003331
5103304441132201
63113453341341
7335162061352
oct64060670375
920037830527
106992130301
112a68969a92
121431797851
138757abc10
144a48ac629
152adcb24a1
hex1a0c370fd

6992130301 has 8 divisors (see below), whose sum is σ = 7580525400. Its totient is φ = 6410955072.

The previous prime is 6992130269. The next prime is 6992130317. The reversal of 6992130301 is 1030312996.

It can be written as a sum of positive squares in 4 ways, for example, as 180929401 + 6811200900 = 13451^2 + 82530^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6992130301 - 25 = 6992130269 is a prime.

It is a super-3 number, since 3×69921303013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6992130001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1802950 + ... + 1806823.

It is an arithmetic number, because the mean of its divisors is an integer number (947565675).

Almost surely, 26992130301 is an apocalyptic number.

It is an amenable number.

6992130301 is a deficient number, since it is larger than the sum of its proper divisors (588395099).

6992130301 is a wasteful number, since it uses less digits than its factorization.

6992130301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609935.

The product of its (nonzero) digits is 8748, while the sum is 34.

The square root of 6992130301 is about 83618.9589806044. The cubic root of 6992130301 is about 1912.2140476455.

The spelling of 6992130301 in words is "six billion, nine hundred ninety-two million, one hundred thirty thousand, three hundred one".

Divisors: 1 13 149 1937 3609773 46927049 537856177 6992130301