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144302231100 = 223523713000201
BaseRepresentation
bin1000011001100100010…
…1010100111000111100
3111210110200002212022210
42012121011110320330
54331012332343400
6150142545340420
713265641504056
oct2063105247074
9453420085283
10144302231100
115621a936035
1223b72637710
13107b8cb2b81
146dacb768d6
153b48796950
hex2199154e3c

144302231100 has 72 divisors (see below), whose sum is σ = 428798662768. Its totient is φ = 37440576000.

The previous prime is 144302231069. The next prime is 144302231113. The reversal of 144302231100 is 1132203441.

144302231100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 6489001 + ... + 6511200.

Almost surely, 2144302231100 is an apocalyptic number.

144302231100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144302231100 is an abundant number, since it is smaller than the sum of its proper divisors (284496431668).

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

144302231100 is a wasteful number, since it uses less digits than its factorization.

144302231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13000255 (or 13000248 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 144302231100 its reverse (1132203441), we get a palindrome (145434434541).

The spelling of 144302231100 in words is "one hundred forty-four billion, three hundred two million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 13000201 26000402 39000603 52000804 65001005 78001206 130002010 156002412 195003015 260004020 325005025 390006030 481007437 650010050 780012060 962014874 975015075 1300020100 1443022311 1924029748 1950030150 2405037185 2886044622 3900060300 4810074370 5772089244 7215111555 9620148740 12025185925 14430223110 24050371850 28860446220 36075557775 48100743700 72151115550 144302231100