Search a number
-
+
111345054440 = 23583313710691
BaseRepresentation
bin110011110110010101…
…1101011001011101000
3101122101211100211012012
41213230223223023220
53311013313220230
6123052354535052
711021143226654
oct1475453531350
9348354324165
10111345054440
1143248420454
12196b5297488
13a66607b1c9
145563ab1a64
152d6a237395
hex19ecaeb2e8

111345054440 has 64 divisors (see below), whose sum is σ = 253649309760. Its totient is φ = 43983278080.

The previous prime is 111345054439. The next prime is 111345054461. The reversal of 111345054440 is 44450543111.

It is a super-2 number, since 2×1113450544402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111345054397 and 111345054406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10409495 + ... + 10420185.

It is an arithmetic number, because the mean of its divisors is an integer number (3963270465).

Almost surely, 2111345054440 is an apocalyptic number.

111345054440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111345054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126824654880).

111345054440 is an abundant number, since it is smaller than the sum of its proper divisors (142304255320).

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

111345054440 is a wasteful number, since it uses less digits than its factorization.

111345054440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13922 (or 13918 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 111345054440 its reverse (44450543111), we get a palindrome (155795597551).

The spelling of 111345054440 in words is "one hundred eleven billion, three hundred forty-five million, fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3137 3320 6274 10691 12548 15685 21382 25096 31370 42764 53455 62740 85528 106910 125480 213820 260371 427640 520742 887353 1041484 1301855 1774706 2082968 2603710 3549412 4436765 5207420 7098824 8873530 10414840 17747060 33537667 35494120 67075334 134150668 167688335 268301336 335376670 670753340 1341506680 2783626361 5567252722 11134505444 13918131805 22269010888 27836263610 55672527220 111345054440