Search a number
-
+
120215580200 = 23521937398461
BaseRepresentation
bin110111111110101101…
…0000010111000101000
3102111022000211012221022
41233331122002320220
53432200142031300
6131120513032012
711454024400052
oct1577532027050
9374260735838
10120215580200
1146a8a619781
121b36bb55608
13b44aa68111
145b65c228d2
1531d8d8b285
hex1bfd682e28

120215580200 has 96 divisors (see below), whose sum is σ = 294325284000. Its totient is φ = 45537811200.

The previous prime is 120215580187. The next prime is 120215580203. The reversal of 120215580200 is 2085512021.

It is a self number, because there is not a number n which added to its sum of digits gives 120215580200.

It is not an unprimeable number, because it can be changed into a prime (120215580203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14203970 + ... + 14212430.

It is an arithmetic number, because the mean of its divisors is an integer number (3065888375).

Almost surely, 2120215580200 is an apocalyptic number.

120215580200 is a gapful number since it is divisible by the number (10) 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 120215580200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147162642000).

120215580200 is an abundant number, since it is smaller than the sum of its proper divisors (174109703800).

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

120215580200 is a wasteful number, since it uses less digits than its factorization.

120215580200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12235 (or 12226 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The spelling of 120215580200 in words is "one hundred twenty billion, two hundred fifteen million, five hundred eighty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3739 3800 7478 8461 14956 16922 18695 29912 33844 37390 42305 67688 71041 74780 84610 93475 142082 149560 160759 169220 186950 211525 284164 321518 338440 355205 373900 423050 568328 643036 710410 747800 803795 846100 1286072 1420820 1607590 1692200 1776025 2841640 3215180 3552050 4018975 6430360 7104100 8037950 14208200 16075900 31635679 32151800 63271358 126542716 158178395 253085432 316356790 601077901 632713580 790891975 1202155802 1265427160 1581783950 2404311604 3005389505 3163567900 4808623208 6010779010 6327135800 12021558020 15026947525 24043116040 30053895050 60107790100 120215580200