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111001313000 = 2353176529489
BaseRepresentation
bin110011101100000110…
…0011001111011101000
3101121111212112221120202
41213120030121323220
53304312314004000
6122554315211332
711006500410224
oct1473014317350
9347455487522
10111001313000
1143091390416
121961a146b48
13a60caa68c6
145530193784
152d49e87dd5
hex19d8319ee8

111001313000 has 64 divisors (see below), whose sum is σ = 275022118800. Its totient is φ = 41788723200.

The previous prime is 111001312999. The next prime is 111001313021. The reversal of 111001313000 is 313100111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15202396804 + 95798916196 = 123298^2 + 309514^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3247745 + ... + 3281744.

Almost surely, 2111001313000 is an apocalyptic number.

111001313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111001313000 is an abundant number, since it is smaller than the sum of its proper divisors (164020805800).

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

111001313000 is a wasteful number, since it uses less digits than its factorization.

111001313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529527 (or 6529513 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 111001313000 its reverse (313100111), we get a palindrome (111314413111).

The spelling of 111001313000 in words is "one hundred eleven billion, one million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 6529489 13058978 26117956 32647445 52235912 65294890 111001313 130589780 163237225 222002626 261179560 326474450 444005252 555006565 652948900 816186125 888010504 1110013130 1305897800 1632372250 2220026260 2775032825 3264744500 4440052520 5550065650 6529489000 11100131300 13875164125 22200262600 27750328250 55500656500 111001313000