Search a number
-
+
312102311022200 = 2352472706433479
BaseRepresentation
bin100011011110110101111101…
…1011000011100111001111000
31111221001200121200021010101002
41012331223323120130321320
5311401441013110202300
63023441453342344132
7122511435134030126
oct10675537330347170
91457050550233332
10312102311022200
1190499935099626
122b00762858b048
131051c17733819a
14570db92372916
15261376d8165d5
hex11bdafb61ce78

312102311022200 has 72 divisors (see below), whose sum is σ = 741405469427400. Its totient is φ = 122184734354880.

The previous prime is 312102311022179. The next prime is 312102311022211. The reversal of 312102311022200 is 2220113201213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 352774940 + ... + 353658539.

Almost surely, 2312102311022200 is an apocalyptic number.

It is an amenable number.

312102311022200 is an abundant number, since it is smaller than the sum of its proper divisors (429303158405200).

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

312102311022200 is a wasteful number, since it uses less digits than its factorization.

312102311022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706433589 (or 706433533 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312102311022200 its reverse (2220113201213), we get a palindrome (314322424223413).

The spelling of 312102311022200 in words is "three hundred twelve trillion, one hundred two billion, three hundred eleven million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2209 2350 4418 4700 8836 9400 11045 17672 22090 44180 55225 88360 110450 220900 441800 706433479 1412866958 2825733916 3532167395 5651467832 7064334790 14128669580 17660836975 28257339160 33202373513 35321673950 66404747026 70643347900 132809494052 141286695800 166011867565 265618988104 332023735130 664047470260 830059337825 1328094940520 1560511555111 1660118675650 3121023110222 3320237351300 6242046220444 6640474702600 7802557775555 12484092440888 15605115551110 31210231102220 39012788877775 62420462204440 78025577755550 156051155511100 312102311022200