Search a number
-
+
1284847313100 = 2235213329448029
BaseRepresentation
bin10010101100100110110…
…111100010000011001100
311112211102012220012111020
4102230212313202003030
5132022331403004400
62422130052554140
7161553466651551
oct22544667420314
94484365805436
101284847313100
1145599a8a325a
12189018922950
1394211a4b510
1446288d7aa28
152364da002a0
hex12b26de20cc

1284847313100 has 72 divisors (see below), whose sum is σ = 4003452460560. Its totient is φ = 316270106880.

The previous prime is 1284847313093. The next prime is 1284847313119. The reversal of 1284847313100 is 13137484821.

It is a super-2 number, since 2×12848473131002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164720115 + ... + 164727914.

Almost surely, 21284847313100 is an apocalyptic number.

1284847313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1284847313100 is an abundant number, since it is smaller than the sum of its proper divisors (2718605147460).

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

1284847313100 is a wasteful number, since it uses less digits than its factorization.

1284847313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329448059 (or 329448052 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 1284847313100 in words is "one trillion, two hundred eighty-four billion, eight hundred forty-seven million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 329448029 658896058 988344087 1317792116 1647240145 1976688174 3294480290 3953376348 4282824377 4941720435 6588960580 8236200725 8565648754 9883440870 12848473131 16472401450 17131297508 19766881740 21414121885 24708602175 25696946262 32944802900 42828243770 49417204350 51393892524 64242365655 85656487540 98834408700 107070609425 128484731310 214141218850 256969462620 321211828275 428282437700 642423656550 1284847313100