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111340002400 = 25521182715299
BaseRepresentation
bin110011110110001100…
…0011001110001100000
3101122101110212011002121
41213230120121301200
53311011020034100
6123052054354024
711021052255664
oct1475430316140
9348343764077
10111340002400
114324558a810
12196b365b914
13a664ccc833
1455631588a4
152d69a8a51a
hex19ec619c60

111340002400 has 144 divisors (see below), whose sum is σ = 296896622400. Its totient is φ = 40435673600.

The previous prime is 111340002377. The next prime is 111340002409. The reversal of 111340002400 is 4200043111.

It is a super-2 number, since 2×1113400024002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111340002409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7269951 + ... + 7285249.

It is an arithmetic number, because the mean of its divisors is an integer number (2061782100).

Almost surely, 2111340002400 is an apocalyptic number.

111340002400 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 111340002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148448311200).

111340002400 is an abundant number, since it is smaller than the sum of its proper divisors (185556620000).

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

111340002400 is a wasteful number, since it uses less digits than its factorization.

111340002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16157 (or 16144 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 111340002400 its reverse (4200043111), we get a palindrome (115540045511).

The spelling of 111340002400 in words is "one hundred eleven billion, three hundred forty million, two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 827 880 1100 1654 1760 2200 3308 4135 4400 6616 8270 8800 9097 13232 15299 16540 18194 20675 26464 30598 33080 36388 41350 45485 61196 66160 72776 76495 82700 90970 122392 132320 145552 152990 165400 168289 181940 227425 244784 291104 305980 330800 336578 363880 382475 454850 489568 611960 661600 673156 727760 764950 841445 909700 1223920 1346312 1455520 1529900 1682890 1819400 2447840 2692624 3059800 3365780 3638800 4207225 5385248 6119600 6731560 7277600 8414450 12239200 12652273 13463120 16828900 25304546 26926240 33657800 50609092 63261365 67315600 101218184 126522730 134631200 139175003 202436368 253045460 278350006 316306825 404872736 506090920 556700012 632613650 695875015 1012181840 1113400024 1265227300 1391750030 2024363680 2226800048 2530454600 2783500060 3479375075 4453600096 5060909200 5567000120 6958750150 10121818400 11134000240 13917500300 22268000480 27835000600 55670001200 111340002400