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111213130320 = 24325154462681
BaseRepresentation
bin110011110010011010…
…0011011001001010000
3101122001122010101022200
41213210310123021100
53310231030132240
6123031323203200
711014652003355
oct1474464331120
9348048111280
10111213130320
114318aa04956
1219679076500
13a64493a9b6
14555037062c
152d5d878930
hex19e4d1b250

111213130320 has 60 divisors (see below), whose sum is σ = 373490765076. Its totient is φ = 29656834560.

The previous prime is 111213130319. The next prime is 111213130321. The reversal of 111213130320 is 23031312111.

111213130320 is a `hidden beast` number, since 1 + 1 + 1 + 213 + 130 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (111213130319) and next prime (111213130321).

It can be written as a sum of positive squares in 2 ways, for example, as 62264222784 + 48948907536 = 249528^2 + 221244^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111213130293 and 111213130302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111213130321) 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 11 ways as a sum of consecutive naturals, for example, 77230621 + ... + 77232060.

Almost surely, 2111213130320 is an apocalyptic number.

111213130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111213130320 is an abundant number, since it is smaller than the sum of its proper divisors (262277634756).

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

111213130320 is a wasteful number, since it uses less digits than its factorization.

111213130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154462700 (or 154462691 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 111213130320 its reverse (23031312111), we get a palindrome (134244442431).

The spelling of 111213130320 in words is "one hundred eleven billion, two hundred thirteen million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 154462681 308925362 463388043 617850724 772313405 926776086 1235701448 1390164129 1544626810 1853552172 2316940215 2471402896 2780328258 3089253620 3707104344 4633880430 5560656516 6178507240 6950820645 7414208688 9267760860 11121313032 12357014480 13901641290 18535521720 22242626064 27803282580 37071043440 55606565160 111213130320