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111301442400 = 2535246375601
BaseRepresentation
bin110011110101000010…
…1010011101101100000
3101122021210022002201110
41213222011103231200
53310421132124100
6123044200103320
711020103436111
oct1475205235540
9348253262643
10111301442400
1143225843045
12196a2764b40
13a65a01b575
14555bd9c208
152d664c0250
hex19ea153b60

111301442400 has 72 divisors (see below), whose sum is σ = 362286202824. Its totient is φ = 29680384000.

The previous prime is 111301442383. The next prime is 111301442411. The reversal of 111301442400 is 4244103111.

111301442400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1113014424002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23185401 + ... + 23190200.

It is an arithmetic number, because the mean of its divisors is an integer number (5031752817).

Almost surely, 2111301442400 is an apocalyptic number.

111301442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111301442400 is an abundant number, since it is smaller than the sum of its proper divisors (250984760424).

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

111301442400 is a wasteful number, since it uses less digits than its factorization.

111301442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46375624 (or 46375611 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 111301442400 its reverse (4244103111), we get a palindrome (115545545511).

The spelling of 111301442400 in words is "one hundred eleven billion, three hundred one million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 46375601 92751202 139126803 185502404 231878005 278253606 371004808 463756010 556507212 695634015 742009616 927512020 1113014424 1159390025 1391268030 1484019232 1855024040 2226028848 2318780050 2782536060 3478170075 3710048080 4452057696 4637560100 5565072120 6956340150 7420096160 9275120200 11130144240 13912680300 18550240400 22260288480 27825360600 37100480800 55650721200 111301442400