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30110024000 = 26537537679
BaseRepresentation
bin11100000010101100…
…101000000101000000
32212201102022200221002
4130002230220011000
5443131131232000
621455442151132
72114103660350
oct340254500500
985642280832
1030110024000
1111851361761
125a039524a8
132abb108364
141658cc8b60
15bb360d8d5
hex702b28140

30110024000 has 112 divisors (see below), whose sum is σ = 85220129280. Its totient is φ = 10323417600.

The previous prime is 30110023973. The next prime is 30110024003. The reversal of 30110024000 is 42001103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×301100240002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30110024003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212840 + ... + 324839.

Almost surely, 230110024000 is an apocalyptic number.

It is an amenable number.

30110024000 is an abundant number, since it is smaller than the sum of its proper divisors (55110105280).

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

30110024000 is an equidigital number, since it uses as much as digits as its factorization.

30110024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537713 (or 537693 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 30110024000 its reverse (42001103), we get a palindrome (30152025103).

The spelling of 30110024000 in words is "thirty billion, one hundred ten million, twenty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 700 800 875 1000 1120 1400 1600 1750 2000 2240 2800 3500 4000 5600 7000 8000 11200 14000 28000 56000 537679 1075358 2150716 2688395 3763753 4301432 5376790 7527506 8602864 10753580 13441975 15055012 17205728 18818765 21507160 26883950 30110024 34411456 37637530 43014320 53767900 60220048 67209875 75275060 86028640 94093825 107535800 120440096 134419750 150550120 172057280 188187650 215071600 240880192 268839500 301100240 376375300 430143200 470469125 537679000 602200480 752750600 860286400 940938250 1075358000 1204400960 1505501200 1881876500 2150716000 3011002400 3763753000 4301432000 6022004800 7527506000 15055012000 30110024000