Search a number
-
+
214511311050 = 23528916939491
BaseRepresentation
bin1100011111000111011…
…1101101100011001010
3202111200122212122222020
43013301313231203022
512003304343423200
6242313425505310
721332535026211
oct3076167554312
9674618778866
10214511311050
1182a79051a53
12356a74a2236
13172c784366a
14a54d456078
1558a7406ea0
hex31f1ded8ca

214511311050 has 96 divisors (see below), whose sum is σ = 538339919040. Its totient is φ = 56520921600.

The previous prime is 214511311033. The next prime is 214511311081. The reversal of 214511311050 is 50113115412.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 214511311050.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22596805 + ... + 22606295.

It is an arithmetic number, because the mean of its divisors is an integer number (5607707490).

Almost surely, 2214511311050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214511311050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269169959520).

214511311050 is an abundant number, since it is smaller than the sum of its proper divisors (323828607990).

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

214511311050 is a wasteful number, since it uses less digits than its factorization.

214511311050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11288 (or 11283 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 214511311050 its reverse (50113115412), we get a palindrome (264624426462).

The spelling of 214511311050 in words is "two hundred fourteen billion, five hundred eleven million, three hundred eleven thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 89 150 178 267 445 534 890 1335 1693 2225 2670 3386 4450 5079 6675 8465 9491 10158 13350 16930 18982 25395 28473 42325 47455 50790 56946 84650 94910 126975 142365 150677 237275 253950 284730 301354 452031 474550 711825 753385 844699 904062 1423650 1506770 1689398 2260155 2534097 3766925 4223495 4520310 5068194 7533850 8446990 11300775 12670485 16068263 21117475 22601550 25340970 32136526 42234950 48204789 63352425 80341315 96409578 126704850 160682630 241023945 401706575 482047890 803413150 1205119725 1430075407 2410239450 2860150814 4290226221 7150377035 8580452442 14300754070 21451131105 35751885175 42902262210 71503770350 107255655525 214511311050