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12035244500 = 2253231377639
BaseRepresentation
bin10110011010101101…
…10100000111010100
31011001202102202201022
423031112310013110
5144122010311000
65310125020312
7604146614246
oct131526640724
934052382638
1012035244500
115116644364
1223ba6b4698
13119a554966
14822594096
154a68d3585
hex2cd5b41d4

12035244500 has 96 divisors (see below), whose sum is σ = 27631618560. Its totient is φ = 4570579200.

The previous prime is 12035244491. The next prime is 12035244521. The reversal of 12035244500 is 544253021.

It is a happy number.

12035244500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120352445002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12035244500.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1571681 + ... + 1579319.

It is an arithmetic number, because the mean of its divisors is an integer number (287829360).

Almost surely, 212035244500 is an apocalyptic number.

12035244500 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 12035244500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13815809280).

12035244500 is an abundant number, since it is smaller than the sum of its proper divisors (15596374060).

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

12035244500 is a wasteful number, since it uses less digits than its factorization.

12035244500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818 (or 7806 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 12035244500 its reverse (544253021), we get a palindrome (12579497521).

The spelling of 12035244500 in words is "twelve billion, thirty-five million, two hundred forty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 137 230 250 274 460 500 548 575 685 1150 1370 2300 2740 2875 3151 3425 5750 6302 6850 7639 11500 12604 13700 15278 15755 17125 30556 31510 34250 38195 63020 68500 76390 78775 152780 157550 175697 190975 315100 351394 381950 393875 702788 763900 787750 878485 954875 1046543 1575500 1756970 1909750 2093086 3513940 3819500 4186172 4392425 5232715 8784850 10465430 17569700 20930860 21962125 24070489 26163575 43924250 48140978 52327150 87848500 96281956 104654300 120352445 130817875 240704890 261635750 481409780 523271500 601762225 1203524450 2407048900 3008811125 6017622250 12035244500