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11012340121344 = 28326916917021
BaseRepresentation
bin1010000001000000001010…
…0111101111111100000000
31102222202202220202210102200
42200100002213233330000
52420411233032340334
635230555455113200
72214421024401432
oct240200247577400
942882686683380
1011012340121344
1135663419a8801
12129a322512800
1361b5c7b934c3
142a100040c652
151416c9c11799
hexa04029eff00

11012340121344 has 108 divisors (see below), whose sum is σ = 31797245785032. Its totient is φ = 3665467238400.

The previous prime is 11012340121333. The next prime is 11012340121351. The reversal of 11012340121344 is 44312104321011.

It is a happy number.

11012340121344 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 2 + 3 + 401 + 213 + 44 = 666.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1866447 + ... + 5050574.

It is an arithmetic number, because the mean of its divisors is an integer number (294418942454).

Almost surely, 211012340121344 is an apocalyptic number.

It is an amenable number.

11012340121344 is an abundant number, since it is smaller than the sum of its proper divisors (20784905663688).

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

11012340121344 is an equidigital number, since it uses as much as digits as its factorization.

11012340121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917734 (or 6917717 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11012340121344 its reverse (44312104321011), we get a palindrome (55324444442355).

The spelling of 11012340121344 in words is "eleven trillion, twelve billion, three hundred forty million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 691 768 1152 1382 2073 2304 2764 4146 5528 6219 8292 11056 12438 16584 22112 24876 33168 44224 49752 66336 88448 99504 132672 176896 199008 265344 398016 530688 796032 1592064 6917021 13834042 20751063 27668084 41502126 55336168 62253189 83004252 110672336 124506378 166008504 221344672 249012756 332017008 442689344 498025512 664034016 885378688 996051024 1328068032 1770757376 1992102048 2656136064 3984204096 4779661511 5312272128 7968408192 9559323022 14338984533 15936816384 19118646044 28677969066 38237292088 43016953599 57355938132 76474584176 86033907198 114711876264 152949168352 172067814396 229423752528 305898336704 344135628792 458847505056 611796673408 688271257584 917695010112 1223593346816 1376542515168 1835390020224 2753085030336 3670780040448 5506170060672 11012340121344