Search a number
-
+
131130213000 = 23353182323977
BaseRepresentation
bin111101000011111111…
…0000100001010001000
3110112110200122000101120
41322013332010022020
54122023313304000
6140123531315240
712321346263663
oct1720776041210
9415420560346
10131130213000
115068064a966
12214b72abb20
13c49a0a3417
1464bd6306da
1536271b66a0
hex1e87f84288

131130213000 has 128 divisors (see below), whose sum is σ = 409367761920. Its totient is φ = 34947417600.

The previous prime is 131130212989. The next prime is 131130213029. The reversal of 131130213000 is 312031131.

It is a super-2 number, since 2×1311302130002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5457012 + ... + 5480988.

It is an arithmetic number, because the mean of its divisors is an integer number (3198185640).

Almost surely, 2131130213000 is an apocalyptic number.

131130213000 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 131130213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204683880960).

131130213000 is an abundant number, since it is smaller than the sum of its proper divisors (278237548920).

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

131130213000 is a wasteful number, since it uses less digits than its factorization.

131130213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25824 (or 25810 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131130213000 its reverse (312031131), we get a palindrome (131442244131).

The spelling of 131130213000 in words is "one hundred thirty-one billion, one hundred thirty million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1823 3000 3646 5469 7292 9115 10938 14584 18230 21876 23977 27345 36460 43752 45575 47954 54690 71931 72920 91150 95908 109380 119885 136725 143862 182300 191816 218760 227875 239770 273450 287724 359655 364600 455750 479540 546900 575448 599425 683625 719310 911500 959080 1093800 1198850 1367250 1438620 1798275 1823000 2397700 2734500 2877240 2997125 3596550 4795400 5469000 5994250 7193100 8991375 11988500 14386200 17982750 23977000 35965500 43710071 71931000 87420142 131130213 174840284 218550355 262260426 349680568 437100710 524520852 655651065 874201420 1049041704 1092751775 1311302130 1748402840 2185503550 2622604260 3278255325 4371007100 5245208520 5463758875 6556510650 8742014200 10927517750 13113021300 16391276625 21855035500 26226042600 32782553250 43710071000 65565106500 131130213000