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1300312212 = 223413537487
BaseRepresentation
bin100110110000001…
…0011000010010100
310100121202201000120
41031200103002110
510130334442322
6333010111540
744136320463
oct11540230224
93317681016
101300312212
11607aa08a1
1230357b5b0
13179517114
14c49a29da
1579252a5c
hex4d813094

1300312212 has 48 divisors (see below), whose sum is σ = 3117284352. Its totient is φ = 421611520.

The previous prime is 1300312183. The next prime is 1300312241. The reversal of 1300312212 is 2122130031.

It is an interprime number because it is at equal distance from previous prime (1300312183) and next prime (1300312241).

It is a super-3 number, since 3×13003122123 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1300312191 and 1300312200.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 169933 + ... + 177419.

It is an arithmetic number, because the mean of its divisors is an integer number (64943424).

Almost surely, 21300312212 is an apocalyptic number.

1300312212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1300312212 is an abundant number, since it is smaller than the sum of its proper divisors (1816972140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1300312212 is a wasteful number, since it uses less digits than its factorization.

1300312212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7888 (or 7886 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1300312212 is about 36059.8420961601. The cubic root of 1300312212 is about 1091.4802468253.

Adding to 1300312212 its reverse (2122130031), we get a palindrome (3422442243).

The spelling of 1300312212 in words is "one billion, three hundred million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 353 492 706 1059 1412 2118 4236 7487 14473 14974 22461 28946 29948 43419 44922 57892 86838 89844 173676 306967 613934 920901 1227868 1841802 2642911 3683604 5285822 7928733 10571644 15857466 31714932 108359351 216718702 325078053 433437404 650156106 1300312212