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1332113220 = 2232537200017
BaseRepresentation
bin100111101100110…
…0110111101000100
310102211121100210200
41033121212331010
510212010110340
6340103450500
745003530004
oct11731467504
93384540720
101332113220
11623a41419
12312156a30
13182c9ca99
14c8cc0004
157be35330
hex4f666f44

1332113220 has 72 divisors (see below), whose sum is σ = 4149973464. Its totient is φ = 345627648.

The previous prime is 1332113207. The next prime is 1332113227. The reversal of 1332113220 is 223112331.

1332113220 is a `hidden beast` number, since 1 + 332 + 11 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 124411716 + 1207701504 = 11154^2 + 34752^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1332113193 and 1332113202.

It is not an unprimeable number, because it can be changed into a prime (1332113227) by changing a digit.

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, 93349 + ... + 106668.

Almost surely, 21332113220 is an apocalyptic number.

1332113220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332113220 is an abundant number, since it is smaller than the sum of its proper divisors (2817860244).

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

1332113220 is a wasteful number, since it uses less digits than its factorization.

1332113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200069 (or 200064 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1332113220 is about 36498.1262532750. The cubic root of 1332113220 is about 1100.3065867180.

Adding to 1332113220 its reverse (223112331), we get a palindrome (1555225551).

The spelling of 1332113220 in words is "one billion, three hundred thirty-two million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 200017 400034 600051 800068 1000085 1200102 1800153 2000170 2400204 3000255 3600306 4000340 6000510 7200612 7400629 9000765 12001020 14801258 18001530 22201887 29602516 36003060 37003145 44403774 66605661 74006290 88807548 111009435 133211322 148012580 222018870 266422644 333028305 444037740 666056610 1332113220