Search a number
-
+
101334221340 = 223511306150159
BaseRepresentation
bin101111001011111111…
…1011000001000011100
3100200120011012210211220
41132113333120020130
53130013030040330
6114315144013340
710215104445432
oct1362777301034
9320504183756
10101334221340
1139a80587370
1217780761250
13972c069c21
144c9432cd52
152981439710
hex1797fd821c

101334221340 has 96 divisors (see below), whose sum is σ = 309637278720. Its totient is φ = 24557356800.

The previous prime is 101334221327. The next prime is 101334221341. The reversal of 101334221340 is 43122433101.

It is a happy number.

It is a super-2 number, since 2×1013342213402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101334221340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101334221341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1995181 + ... + 2045339.

It is an arithmetic number, because the mean of its divisors is an integer number (3225388320).

Almost surely, 2101334221340 is an apocalyptic number.

101334221340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101334221340 is an abundant number, since it is smaller than the sum of its proper divisors (208303057380).

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

101334221340 is a wasteful number, since it uses less digits than its factorization.

101334221340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53243 (or 53241 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101334221340 its reverse (43122433101), we get a palindrome (144456654441).

The spelling of 101334221340 in words is "one hundred one billion, three hundred thirty-four million, two hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3061 6122 9183 12244 15305 18366 30610 33671 36732 45915 50159 61220 67342 91830 100318 101013 134684 150477 168355 183660 200636 202026 250795 300954 336710 404052 501590 505065 551749 601908 673420 752385 1003180 1010130 1103498 1504770 1655247 2020260 2206996 2758745 3009540 3310494 5517490 6620988 8276235 11034980 16552470 33104940 153536699 307073398 460610097 614146796 767683495 921220194 1535366990 1688903689 1842440388 2303050485 3070733980 3377807378 4606100970 5066711067 6755614756 8444518445 9212201940 10133422134 16889036890 20266844268 25333555335 33778073780 50667110670 101334221340