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312141230420100 = 223521040470768067
BaseRepresentation
bin100011011111001000000101…
…1001010001011000010000100
31111221012102002000222101110120
41012332100023022023002010
5311403110214441420400
63023511411320221540
7122514313450325364
oct10676201312130204
91457172060871416
10312141230420100
1190504397081284
122b01308a60a8b0
1310522a3a56c103
145711a052109a4
15261479a4e9ca0
hex11be40b28b084

312141230420100 has 36 divisors (see below), whose sum is σ = 903128626683024. Its totient is φ = 83237661445280.

The previous prime is 312141230420093. The next prime is 312141230420213. The reversal of 312141230420100 is 1024032141213.

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 11 ways as a sum of consecutive naturals, for example, 520235383734 + ... + 520235384333.

Almost surely, 2312141230420100 is an apocalyptic number.

312141230420100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312141230420100 is an abundant number, since it is smaller than the sum of its proper divisors (590987396262924).

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

312141230420100 is a wasteful number, since it uses less digits than its factorization.

312141230420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040470768084 (or 1040470768077 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 312141230420100 its reverse (1024032141213), we get a palindrome (313165262561313).

The spelling of 312141230420100 in words is "three hundred twelve trillion, one hundred forty-one billion, two hundred thirty million, four hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1040470768067 2080941536134 3121412304201 4161883072268 5202353840335 6242824608402 10404707680670 12485649216804 15607061521005 20809415361340 26011769201675 31214123042010 52023538403350 62428246084020 78035307605025 104047076806700 156070615210050 312141230420100