Search a number
-
+
310243320241101 = 3413893310427353
BaseRepresentation
bin100011010001010100010011…
…0111001011001101111001101
31111200110222020102010210020000
41012202220212321121233031
5311131011304440203401
63015455451434314513
7122230224456066402
oct10642504671315715
91450428212123200
10310243320241101
118a9424a9281a95
122a967298288a39
1310415a86780160
145687bdd17c2a9
1525d0219e5d186
hex11a2a26e59bcd

310243320241101 has 40 divisors (see below), whose sum is σ = 504707754390840. Its totient is φ = 188773809320448.

The previous prime is 310243320241073. The next prime is 310243320241111. The reversal of 310243320241101 is 101142023342013.

310243320241101 is a `hidden beast` number, since 3 + 1 + 0 + 2 + 43 + 3 + 202 + 411 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36244854936900 + 273998465304201 = 6020370^2 + 16552899^2 .

It is not a de Polignac number, because 310243320241101 - 226 = 310243253132237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310243320241111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1655119960 + ... + 1655307393.

It is an arithmetic number, because the mean of its divisors is an integer number (12617693859771).

Almost surely, 2310243320241101 is an apocalyptic number.

It is an amenable number.

310243320241101 is a deficient number, since it is larger than the sum of its proper divisors (194464434149739).

310243320241101 is a wasteful number, since it uses less digits than its factorization.

310243320241101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310427467 (or 3310427458 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 310243320241101 its reverse (101142023342013), we get a palindrome (411385343583114).

The spelling of 310243320241101 in words is "three hundred ten trillion, two hundred forty-three billion, three hundred twenty million, two hundred forty-one thousand, one hundred one".

Divisors: 1 3 9 13 27 39 81 89 117 267 351 801 1053 1157 2403 3471 7209 10413 31239 93717 3310427353 9931282059 29793846177 43035555589 89381538531 129106666767 268144615593 294628034417 387320000301 883884103251 1161960000903 2651652309753 3485880002709 3830164447421 7954956929259 11490493342263 23864870787777 34471480026789 103414440080367 310243320241101