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114333002320220 = 225103461991121487
BaseRepresentation
bin11001111111110000111001…
…111111010100100101011100
3112222211010110111212002020122
4121333300321333110211130
5104441212442043221340
61043055504533134112
733040200244532345
oct3177607177244534
9488733414762218
10114333002320220
1133480399177772
12109a660318a338
134ba472c2a8208
142033a654790cc
15d340e5356db5
hex67fc39fd495c

114333002320220 has 96 divisors (see below), whose sum is σ = 243203409985536. Its totient is φ = 45144975110400.

The previous prime is 114333002320213. The next prime is 114333002320241. The reversal of 114333002320220 is 22023200333411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114333002320220.

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 31 ways as a sum of consecutive naturals, for example, 941052317 + ... + 941173803.

It is an arithmetic number, because the mean of its divisors is an integer number (2533368854016).

Almost surely, 2114333002320220 is an apocalyptic number.

114333002320220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114333002320220 is an abundant number, since it is smaller than the sum of its proper divisors (128870407665316).

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

114333002320220 is a wasteful number, since it uses less digits than its factorization.

114333002320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123051 (or 123049 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 114333002320220 its reverse (22023200333411), we get a palindrome (136356202653631).

The spelling of 114333002320220 in words is "one hundred fourteen trillion, three hundred thirty-three billion, two million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 103 206 412 461 515 922 991 1030 1844 1982 2060 2305 3964 4610 4955 9220 9910 19820 47483 94966 102073 121487 189932 204146 237415 242974 408292 456851 474830 485948 510365 607435 913702 949660 1020730 1214870 1827404 2041460 2284255 2429740 4568510 9137020 12513161 25026322 47055653 50052644 56005507 62565805 94111306 112011014 120393617 125131610 188222612 224022028 235278265 240787234 250263220 280027535 470556530 481574468 560055070 601968085 941113060 1120110140 1203936170 2407872340 5768567221 11537134442 12400542551 23074268884 24801085102 28842836105 49602170204 55501457437 57685672210 62002712755 111002914874 115371344420 124005425510 222005829748 248010851020 277507287185 555014574370 1110029148740 5716650116011 11433300232022 22866600464044 28583250580055 57166501160110 114333002320220