Search a number
-
+
220334141303010 = 232571983401553051
BaseRepresentation
bin110010000110010010001010…
…001110010110100011100010
31001220010201221010220111002100
4302012102022032112203202
5212334423310133144020
62100340035051231230
764260421264502460
oct6206221216264342
91056121833814070
10220334141303010
1164229203736989
1220866296148516
1395c3560730457
143c5a32d445830
151a715e3a95a90
hexc8648a3968e2

220334141303010 has 384 divisors, whose sum is σ = 699209220003840. Its totient is φ = 47018983680000.

The previous prime is 220334141302999. The next prime is 220334141303027. The reversal of 220334141303010 is 10303141433022.

It is a happy number.

220334141303010 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 341 + 4 + 1 + 303 + 0 + 10 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 398120985 + ... + 398674035.

It is an arithmetic number, because the mean of its divisors is an integer number (1820857343760).

Almost surely, 2220334141303010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220334141303010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349604610001920).

220334141303010 is an abundant number, since it is smaller than the sum of its proper divisors (478875078700830).

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

220334141303010 is a wasteful number, since it uses less digits than its factorization.

220334141303010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553574 (or 553571 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 220334141303010 its reverse (10303141433022), we get a palindrome (230637282736032).

The spelling of 220334141303010 in words is "two hundred twenty trillion, three hundred thirty-four billion, one hundred forty-one million, three hundred three thousand, ten".