Search a number
-
+
101312330310 = 236589156151
BaseRepresentation
bin101111001011010101…
…1110111101001000110
3100200111122000122000000
41132112223313221012
53124441424032220
6114313042502130
710214420412252
oct1362653675106
9320448018000
10101312330310
1139a6a195304
1217775364946
139727673b59
144c91471262
15297e563390
hex1796af7a46

101312330310 has 112 divisors (see below), whose sum is σ = 276492100320. Its totient is φ = 26712892800.

The previous prime is 101312330291. The next prime is 101312330333. The reversal of 101312330310 is 13033213101.

It is a happy number.

101312330310 is a `hidden beast` number, since 1 + 0 + 13 + 12 + 330 + 310 = 666.

It is a super-2 number, since 2×1013123303102 (a number of 23 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 55 ways as a sum of consecutive naturals, for example, 570735 + ... + 726885.

Almost surely, 2101312330310 is an apocalyptic number.

101312330310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101312330310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138246050160).

101312330310 is an abundant number, since it is smaller than the sum of its proper divisors (175179770010).

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

101312330310 is an equidigital number, since it uses as much as digits as its factorization.

101312330310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156265 (or 156250 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101312330310 its reverse (13033213101), we get a palindrome (114345543411).

The spelling of 101312330310 in words is "one hundred one billion, three hundred twelve million, three hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 89 90 135 162 178 243 267 270 405 445 486 534 729 801 810 890 1215 1335 1458 1602 2403 2430 2670 3645 4005 4806 7209 7290 8010 12015 14418 21627 24030 36045 43254 64881 72090 108135 129762 156151 216270 312302 324405 468453 648810 780755 936906 1405359 1561510 2342265 2810718 4216077 4684530 7026795 8432154 12648231 13897439 14053590 21080385 25296462 27794878 37944693 41692317 42160770 63241155 69487195 75889386 83384634 113834079 125076951 126482310 138974390 189723465 208461585 227668158 250153902 375230853 379446930 416923170 569170395 625384755 750461706 1125692559 1138340790 1250769510 1876154265 2251385118 3377077677 3752308530 5628462795 6754155354 10131233031 11256925590 16885388385 20262466062 33770776770 50656165155 101312330310