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301284993298969 = 9472183292
BaseRepresentation
bin100010010000001000110000…
…1000000000111001000011001
31110111202120020012112122022101
41010200101201000013020121
5303442223131241031334
62544440225402123401
7120314056666342501
oct10440214100071031
91414676205478271
10301284993298969
1187aa9280263059
122995b0727b0561
13cc1608c4780b4
1454583b2d34a01
1524c71aa099214
hex1120461007219

301284993298969 has 9 divisors (see below), whose sum is σ = 301619931909247. Its totient is φ = 300950426272144.

The previous prime is 301284993298943. The next prime is 301284993299039. The reversal of 301284993298969 is 969892399482103.

The square root of 301284993298969 is 17357563.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 149724272298969 + 151560721000000 = 12236187^2 + 12311000^2 .

It is not a de Polignac number, because 301284993298969 - 25 = 301284993298937 is a prime.

It is a super-2 number, since 2×3012849932989692 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 301284993298892 and 301284993298901.

It is not an unprimeable number, because it can be changed into a prime (301284993298769) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16437602997 + ... + 16437621325.

Almost surely, 2301284993298969 is an apocalyptic number.

301284993298969 is the 17357563-rd square number.

301284993298969 is the 8678782-nd centered octagonal number.

It is an amenable number.

301284993298969 is a deficient number, since it is larger than the sum of its proper divisors (334938610278).

301284993298969 is an frugal number, since it uses more digits than its factorization.

301284993298969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38552 (or 19276 counting only the distinct ones).

The product of its (nonzero) digits is 3265173504, while the sum is 82.

The spelling of 301284993298969 in words is "three hundred one trillion, two hundred eighty-four billion, nine hundred ninety-three million, two hundred ninety-eight thousand, nine hundred sixty-nine".

Divisors: 1 947 18329 896809 17357563 335952241 16437612161 318146772227 301284993298969