Search a number
-
+
2001112313310 = 232511472915041
BaseRepresentation
bin11101000111101011100…
…101101010110111011110
321002022012221212012222100
4131013223211222313132
5230241234223011220
64131144233425530
7264401300004015
oct35075345526736
97068187765870
102001112313310
11701737806290
122839b456b2a6
1311691cb36826
146cbd64b5a7c
15370c0996d90
hex1d1eb96adde

2001112313310 has 144 divisors (see below), whose sum is σ = 5799221421552. Its totient is φ = 474795955200.

The previous prime is 2001112313279. The next prime is 2001112313329. The reversal of 2001112313310 is 133132111002.

2001112313310 is a `hidden beast` number, since 20 + 0 + 11 + 12 + 313 + 310 = 666.

It is a super-2 number, since 2×20011123133102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1729390 + ... + 2644430.

It is an arithmetic number, because the mean of its divisors is an integer number (40272370983).

Almost surely, 22001112313310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001112313310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899610710776).

2001112313310 is an abundant number, since it is smaller than the sum of its proper divisors (3798109108242).

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

2001112313310 is a wasteful number, since it uses less digits than its factorization.

2001112313310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915159 (or 915109 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2001112313310 its reverse (133132111002), we get a palindrome (2134244424312).

It can be divided in two parts, 20011 and 12313310, that added together give a palindrome (12333321).

The spelling of 2001112313310 in words is "two trillion, one billion, one hundred twelve million, three hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 47 55 66 90 94 99 110 141 165 198 235 282 330 423 470 495 517 705 846 990 1034 1410 1551 2115 2209 2585 3102 4230 4418 4653 5170 6627 7755 9306 11045 13254 15510 19881 22090 23265 24299 33135 39762 46530 48598 66270 72897 99405 121495 145794 198810 218691 242990 364485 437382 728970 915041 1093455 1830082 2186910 2745123 4575205 5490246 8235369 9150410 10065451 13725615 16470738 20130902 27451230 30196353 41176845 43006927 50327255 60392706 82353690 86013854 90589059 100654510 129020781 150981765 181178118 215034635 258041562 301963530 387062343 430069270 452945295 473076197 645103905 774124686 905890590 946152394 1290207810 1419228591 1935311715 2021325569 2365380985 2838457182 3870623430 4042651138 4257685773 4730761970 6063976707 7096142955 8515371546 10106627845 12127953414 14192285910 18191930121 20213255690 21288428865 22234581259 30319883535 36383860242 42576857730 44469162518 60639767070 66703743777 90959650605 111172906295 133407487554 181919301210 200111231331 222345812590 333518718885 400222462662 667037437770 1000556156655 2001112313310