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312132114201340 = 225611747714639011
BaseRepresentation
bin100011011111000011110101…
…1110010100011101011111100
31111221011112112201012111021201
41012332013223302203223330
5311402433032213420330
63023503302544105244
7122513541523622206
oct10676075362435374
91457145481174251
10312132114201340
1190500539221194
122b011365605224
1310521c169ba024
1457113bc5c5776
152614415012eca
hex11be1ebca3afc

312132114201340 has 48 divisors (see below), whose sum is σ = 666261137120544. Its totient is φ = 122799042604800.

The previous prime is 312132114201337. The next prime is 312132114201431. The reversal of 312132114201340 is 43102411231213.

It is a junction number, because it is equal to n+sod(n) for n = 312132114201299 and 312132114201308.

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 15 ways as a sum of consecutive naturals, for example, 14002435 + ... + 28641445.

It is an arithmetic number, because the mean of its divisors is an integer number (13880440356678).

Almost surely, 2312132114201340 is an apocalyptic number.

It is an amenable number.

312132114201340 is an abundant number, since it is smaller than the sum of its proper divisors (354129022919204).

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

312132114201340 is a wasteful number, since it uses less digits than its factorization.

312132114201340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14656558 (or 14656556 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 312132114201340 its reverse (43102411231213), we get a palindrome (355234525432553).

The spelling of 312132114201340 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred fourteen million, two hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 17477 34954 69908 87385 174770 349540 1066097 2132194 4264388 5330485 10660970 14639011 21321940 29278022 58556044 73195055 146390110 292780220 892979671 1785959342 3571918684 4464898355 8929796710 17859593420 255845995247 511691990494 1023383980988 1279229976235 2558459952470 5116919904940 15606605710067 31213211420134 62426422840268 78033028550335 156066057100670 312132114201340