Search a number
-
+
300231313321000 = 235311032557106451
BaseRepresentation
bin100010001000011110000110…
…0110001111110110000101000
31110101000211111102202210110011
41010100330030301332300220
5303322442212202233000
62542312210011301304
7120144665553324115
oct10420741461766050
91411024442683404
10300231313321000
11877324263a0206
122980aa0b44a834
13cb6a8cac093a9
14541d3b754d90c
1524a9a8ad7e2ba
hex1110f0cc7ec28

300231313321000 has 128 divisors (see below), whose sum is σ = 703459819445760. Its totient is φ = 119935596960000.

The previous prime is 300231313320943. The next prime is 300231313321021. The reversal of 300231313321000 is 123313132003.

It is a super-4 number, since 4×3002313133210004 (a number of 59 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2820317775 + ... + 2820424225.

It is an arithmetic number, because the mean of its divisors is an integer number (5495779839420).

Almost surely, 2300231313321000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300231313321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351729909722880).

300231313321000 is an abundant number, since it is smaller than the sum of its proper divisors (403228506124760).

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

300231313321000 is a wasteful number, since it uses less digits than its factorization.

300231313321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110132 (or 110118 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 300231313321000 its reverse (123313132003), we get a palindrome (300354626453003).

The spelling of 300231313321000 in words is "three hundred trillion, two hundred thirty-one billion, three hundred thirteen million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1103 2206 2557 4412 5114 5515 8824 10228 11030 12785 20456 22060 25570 27575 44120 51140 55150 63925 102280 106451 110300 127850 137875 212902 220600 255700 275750 319625 425804 511400 532255 551500 639250 851608 1064510 1103000 1278500 2129020 2557000 2661275 2820371 4258040 5322550 5640742 10645100 11281484 13306375 14101855 21290200 22562968 26612750 28203710 53225500 56407420 70509275 106451000 112814840 117415453 141018550 234830906 272195207 282037100 352546375 469661812 544390414 564074200 587077265 705092750 939323624 1088780828 1174154530 1360976035 1410185500 2177561656 2348309060 2721952070 2820371000 2935386325 4696618120 5443904140 5870772650 6804880175 10887808280 11741545300 13609760350 14676931625 23483090600 27219520700 29353863250 34024400875 54439041400 58707726500 68048801750 117415453000 136097603500 272195207000 300231313321 600462626642 1200925253284 1501156566605 2401850506568 3002313133210 6004626266420 7505782833025 12009252532840 15011565666050 30023131332100 37528914165125 60046262664200 75057828330250 150115656660500 300231313321000