Search a number
-
+
2301043213000 = 235371327247717
BaseRepresentation
bin100001011111000000110…
…111010000001011001000
322010222101122202120220201
4201133000313100023020
5300200014030304000
64521030141501544
7325146665410630
oct41370067201310
98128348676821
102301043213000
118079599a6494
12311b5a8718b4
13138cab55027c
147d52a38b6c0
153ecc705696a
hex217c0dd02c8

2301043213000 has 128 divisors (see below), whose sum is σ = 6158309114880. Its totient is φ = 788331398400.

The previous prime is 2301043212983. The next prime is 2301043213003. The reversal of 2301043213000 is 3123401032.

It is not an unprimeable number, because it can be changed into a prime (2301043213003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9165142 + ... + 9412858.

It is an arithmetic number, because the mean of its divisors is an integer number (48111789960).

Almost surely, 22301043213000 is an apocalyptic number.

2301043213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301043213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079154557440).

2301043213000 is an abundant number, since it is smaller than the sum of its proper divisors (3857265901880).

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

2301043213000 is a wasteful number, since it uses less digits than its factorization.

2301043213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249072 (or 249058 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2301043213000 its reverse (3123401032), we get a palindrome (2304166614032).

The spelling of 2301043213000 in words is "two trillion, three hundred one billion, forty-three million, two hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1327 1400 1750 2654 3500 5308 6635 7000 9289 10616 13270 18578 26540 33175 37156 46445 53080 66350 74312 92890 132700 165875 185780 232225 247717 265400 331750 371560 464450 495434 663500 928900 990868 1161125 1238585 1327000 1734019 1857800 1981736 2322250 2477170 3468038 4644500 4954340 6192925 6936076 8670095 9289000 9908680 12385850 13872152 17340190 24771700 30964625 34680380 43350475 49543400 61929250 69360760 86700950 123858500 173401900 216752375 247717000 328720459 346803800 433504750 657440918 867009500 1314881836 1643602295 1734019000 2301043213 2629763672 3287204590 4602086426 6574409180 8218011475 9204172852 11505216065 13148818360 16436022950 18408345704 23010432130 32872045900 41090057375 46020864260 57526080325 65744091800 82180114750 92041728520 115052160650 164360229500 230104321300 287630401625 328720459000 460208642600 575260803250 1150521606500 2301043213000