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111430224100 = 225213137625661
BaseRepresentation
bin110011111000111000…
…0100100100011100100
3101122121202121220000001
41213301300210203210
53311202114132400
6123105040231044
711023226164006
oct1476160444344
9348552556001
10111430224100
11432915026a8
121971990b484
13a67a8cb660
145571122376
152d7295ca6a
hex19f1c248e4

111430224100 has 72 divisors (see below), whose sum is σ = 262305039528. Its totient is φ = 40843084800.

The previous prime is 111430224083. The next prime is 111430224131. The reversal of 111430224100 is 1422034111.

111430224100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 27910380096 + 83519844004 = 167064^2 + 288998^2 .

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 23 ways as a sum of consecutive naturals, for example, 134731 + ... + 490930.

It is an arithmetic number, because the mean of its divisors is an integer number (3643125549).

Almost surely, 2111430224100 is an apocalyptic number.

111430224100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111430224100 is an abundant number, since it is smaller than the sum of its proper divisors (150874815428).

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

111430224100 is a wasteful number, since it uses less digits than its factorization.

111430224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625825 (or 625818 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 111430224100 its reverse (1422034111), we get a palindrome (112852258211).

The spelling of 111430224100 in words is "one hundred eleven billion, four hundred thirty million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 137 260 274 325 548 650 685 1300 1370 1781 2740 3425 3562 6850 7124 8905 13700 17810 35620 44525 89050 178100 625661 1251322 2502644 3128305 6256610 8133593 12513220 15641525 16267186 31283050 32534372 40667965 62566100 81335930 85715557 162671860 171431114 203339825 342862228 406679650 428577785 813359300 857155570 1114302241 1714311140 2142888925 2228604482 4285777850 4457208964 5571511205 8571555700 11143022410 22286044820 27857556025 55715112050 111430224100