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1332412100 = 225223575653
BaseRepresentation
bin100111101101010…
…1111111011000100
310102212011112210022
41033122233323010
510212044141400
6340114114312
745006213245
oct11732577304
93385145708
101332412100
11624125a28
1231227b998
13183075b36
14c8d5accc
157be93b85
hex4f6afec4

1332412100 has 36 divisors (see below), whose sum is σ = 2893072644. Its totient is φ = 532644480.

The previous prime is 1332412093. The next prime is 1332412141. The reversal of 1332412100 is 12142331.

It can be written as a sum of positive squares in 6 ways, for example, as 35259844 + 1297152256 = 5938^2 + 36016^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232874 + ... + 238526.

It is an arithmetic number, because the mean of its divisors is an integer number (80363129).

Almost surely, 21332412100 is an apocalyptic number.

1332412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332412100 is an abundant number, since it is smaller than the sum of its proper divisors (1560660544).

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

1332412100 is a wasteful number, since it uses less digits than its factorization.

1332412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8024 (or 8017 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1332412100 is about 36502.2204804037. The cubic root of 1332412100 is about 1100.3888707751.

Adding to 1332412100 its reverse (12142331), we get a palindrome (1344554431).

The spelling of 1332412100 in words is "one billion, three hundred thirty-two million, four hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2357 4714 5653 9428 11306 11785 22612 23570 28265 47140 56530 58925 113060 117850 141325 235700 282650 565300 13324121 26648242 53296484 66620605 133241210 266482420 333103025 666206050 1332412100