Search a number
-
+
31123222000 = 2453132414967
BaseRepresentation
bin11100111111000101…
…101010110111110000
32222100000211111021221
4130333011222313300
51002220021101000
622144154354424
72151156010363
oct347705526760
988300744257
1031123222000
111222127a382
12604712ba14
132c1ccb68c0
1417136b00da
15c2254a61a
hex73f16adf0

31123222000 has 160 divisors (see below), whose sum is σ = 81397540224. Its totient is φ = 11441664000.

The previous prime is 31123221989. The next prime is 31123222019. The reversal of 31123222000 is 22232113.

It is a super-2 number, since 2×311232220002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 6263517 + ... + 6268483.

Almost surely, 231123222000 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 31123222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40698770112).

31123222000 is an abundant number, since it is smaller than the sum of its proper divisors (50274318224).

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

31123222000 is a wasteful number, since it uses less digits than its factorization.

31123222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5244 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31123222000 its reverse (22232113), we get a palindrome (31145454113).

The spelling of 31123222000 in words is "thirty-one billion, one hundred twenty-three million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 241 250 260 325 400 482 500 520 650 964 1000 1040 1205 1300 1625 1928 2000 2410 2600 3133 3250 3856 4820 4967 5200 6025 6266 6500 9640 9934 12050 12532 13000 15665 19280 19868 24100 24835 25064 26000 30125 31330 39736 48200 49670 50128 60250 62660 64571 78325 79472 96400 99340 120500 124175 125320 129142 156650 198680 241000 248350 250640 258284 313300 322855 391625 397360 482000 496700 516568 620875 626600 645710 783250 993400 1033136 1197047 1241750 1253200 1291420 1566500 1614275 1986800 2394094 2483500 2582840 3133000 3228550 4788188 4967000 5165680 5985235 6266000 6457100 8071375 9576376 9934000 11970470 12914200 15561611 16142750 19152752 23940940 25828400 29926175 31123222 32285500 47881880 59852350 62246444 64571000 77808055 95763760 119704700 124492888 129142000 149630875 155616110 239409400 248985776 299261750 311232220 389040275 478818800 598523500 622464440 778080550 1197047000 1244928880 1556161100 1945201375 2394094000 3112322200 3890402750 6224644400 7780805500 15561611000 31123222000