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1332315100 = 225229676857
BaseRepresentation
bin100111101101001…
…1000001111011100
310102211222121201201
41033122120033130
510212033040400
6340112045244
745005330404
oct11732301734
93384877651
101332315100
1162406a066
12312233824
1318304093c
14c8d33804
157be7506a
hex4f6983dc

1332315100 has 72 divisors (see below), whose sum is σ = 3035899440. Its totient is φ = 506795520.

The previous prime is 1332315097. The next prime is 1332315119. The reversal of 1332315100 is 15132331.

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, 190872 + ... + 197728.

It is an arithmetic number, because the mean of its divisors is an integer number (42165270).

Almost surely, 21332315100 is an apocalyptic number.

1332315100 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 1332315100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517949720).

1332315100 is an abundant number, since it is smaller than the sum of its proper divisors (1703584340).

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

1332315100 is a wasteful number, since it uses less digits than its factorization.

1332315100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6967 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 1332315100 is about 36500.8917699280. The cubic root of 1332315100 is about 1100.3621672473.

Adding to 1332315100 its reverse (15132331), we get a palindrome (1347447431).

The spelling of 1332315100 in words is "one billion, three hundred thirty-two million, three hundred fifteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 67 100 116 134 145 268 290 335 580 670 725 1340 1450 1675 1943 2900 3350 3886 6700 6857 7772 9715 13714 19430 27428 34285 38860 48575 68570 97150 137140 171425 194300 198853 342850 397706 459419 685700 795412 918838 994265 1837676 1988530 2297095 3977060 4594190 4971325 9188380 9942650 11485475 13323151 19885300 22970950 26646302 45941900 53292604 66615755 133231510 266463020 333078775 666157550 1332315100