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12233130110000 = 24542879424909
BaseRepresentation
bin1011001000000011111101…
…0111111110110000110000
31121022110211212111202100222
42302000333113332300300
53100411422302010000
642003453345232212
72401546240160342
oct262007727766060
947273755452328
1012233130110000
113997050036aa8
121456a42632668
136a976b711c37
1430412dadd292
15163329bb3a85
hexb203f5fec30

12233130110000 has 100 divisors (see below), whose sum is σ = 29627988508800. Its totient is φ = 4891540896000.

The previous prime is 12233130109969. The next prime is 12233130110009. The reversal of 12233130110000 is 1103133221.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×122331301100002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12233130110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28577546 + ... + 29002454.

It is an arithmetic number, because the mean of its divisors is an integer number (296279885088).

Almost surely, 212233130110000 is an apocalyptic number.

12233130110000 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 12233130110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813994254400).

12233130110000 is an abundant number, since it is smaller than the sum of its proper divisors (17394858398800).

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

12233130110000 is an equidigital number, since it uses as much as digits as its factorization.

12233130110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427816 (or 427795 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12233130110000 its reverse (1103133221), we get a palindrome (12234233243221).

The spelling of 12233130110000 in words is "twelve trillion, two hundred thirty-three billion, one hundred thirty million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 2879 5000 5758 10000 11516 14395 23032 28790 46064 57580 71975 115160 143950 230320 287900 359875 424909 575800 719750 849818 1151600 1439500 1699636 1799375 2124545 2879000 3399272 3598750 4249090 5758000 6798544 7197500 8498180 10622725 14395000 16996360 21245450 28790000 33992720 42490900 53113625 84981800 106227250 169963600 212454500 265568125 424909000 531136250 849818000 1062272500 1223313011 2124545000 2446626022 4249090000 4893252044 6116565055 9786504088 12233130110 19573008176 24466260220 30582825275 48932520440 61165650550 97865040880 122331301100 152914126375 244662602200 305828252750 489325204400 611656505500 764570631875 1223313011000 1529141263750 2446626022000 3058282527500 6116565055000 12233130110000