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2313031012200 = 2332521285017229
BaseRepresentation
bin100001101010001011011…
…001000100111101101000
322012010100002220212220200
4201222023121010331220
5300344041414342300
64530331453552200
7326053031130546
oct41521331047550
98163302825820
102313031012200
11811a50784457
123143454a5660
1313a16c00258c
147dd46510d96
15402796b7200
hex21a8b644f68

2313031012200 has 72 divisors (see below), whose sum is σ = 7767929155350. Its totient is φ = 616808269440.

The previous prime is 2313031012169. The next prime is 2313031012211. The reversal of 2313031012200 is 22101303132.

2313031012200 is a `hidden beast` number, since 2 + 3 + 130 + 310 + 1 + 220 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1244425029444 + 1068605982756 = 1115538^2 + 1033734^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×23130310122002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 642506815 + ... + 642510414.

Almost surely, 22313031012200 is an apocalyptic number.

2313031012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2313031012200 is an abundant number, since it is smaller than the sum of its proper divisors (5454898143150).

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

2313031012200 is a wasteful number, since it uses less digits than its factorization.

2313031012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285017251 (or 1285017239 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2313031012200 its reverse (22101303132), we get a palindrome (2335132315332).

The spelling of 2313031012200 in words is "two trillion, three hundred thirteen billion, thirty-one million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 1285017229 2570034458 3855051687 5140068916 6425086145 7710103374 10280137832 11565155061 12850172290 15420206748 19275258435 23130310122 25700344580 30840413496 32125430725 38550516870 46260620244 51400689160 57825775305 64250861450 77101033740 92521240488 96376292175 115651550610 128501722900 154202067480 192752584350 231303101220 257003445800 289128876525 385505168700 462606202440 578257753050 771010337400 1156515506100 2313031012200