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111300424000 = 265353262501
BaseRepresentation
bin110011110101000000…
…1011011000101000000
3101122021201101100201221
41213222001123011000
53310420402032000
6123044122204424
711020061665033
oct1475201330500
9348251340657
10111300424000
1143225207997
12196a2353714
13a659a52b6c
14555bbb501a
152d6636d61a
hex19ea05b140

111300424000 has 112 divisors (see below), whose sum is σ = 280837239696. Its totient is φ = 43680000000.

The previous prime is 111300423989. The next prime is 111300424009. The reversal of 111300424000 is 424003111.

It can be written as a sum of positive squares in 8 ways, for example, as 4146329664 + 107154094336 = 64392^2 + 327344^2 .

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 (111300424009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292750 + ... + 555250.

Almost surely, 2111300424000 is an apocalyptic number.

111300424000 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 111300424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140418619848).

111300424000 is an abundant number, since it is smaller than the sum of its proper divisors (169536815696).

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

111300424000 is an equidigital number, since it uses as much as digits as its factorization.

111300424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262581 (or 262561 counting only the distinct ones).

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

Adding to 111300424000 its reverse (424003111), we get a palindrome (111724427111).

The spelling of 111300424000 in words is "one hundred eleven billion, three hundred million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 125 160 200 212 250 265 320 400 424 500 530 800 848 1000 1060 1325 1600 1696 2000 2120 2650 3392 4000 4240 5300 6625 8000 8480 10600 13250 16960 21200 26500 42400 53000 84800 106000 212000 262501 424000 525002 1050004 1312505 2100008 2625010 4200016 5250020 6562525 8400032 10500040 13125050 13912553 16800064 21000080 26250100 27825106 32812625 42000160 52500200 55650212 65625250 69562765 84000320 105000400 111300424 131250500 139125530 210000800 222600848 262501000 278251060 347813825 420001600 445201696 525002000 556502120 695627650 890403392 1050004000 1113004240 1391255300 1739069125 2100008000 2226008480 2782510600 3478138250 4452016960 5565021200 6956276500 11130042400 13912553000 22260084800 27825106000 55650212000 111300424000