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1332002112 = 2637991073
BaseRepresentation
bin100111101100100…
…1011110101000000
310102211101201101120
41033121023311000
510211443031422
6340101232240
745002555040
oct11731136500
93384351346
101332002112
116239759a1
12312102680
13182c6133c
14c8c91720
157be1245c
hex4f64bd40

1332002112 has 56 divisors (see below), whose sum is σ = 4027724736. Its totient is φ = 380571648.

The previous prime is 1332002107. The next prime is 1332002117. The reversal of 1332002112 is 2112002331.

It is an interprime number because it is at equal distance from previous prime (1332002107) and next prime (1332002117).

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 1332002091 and 1332002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332002117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494193 + ... + 496880.

It is an arithmetic number, because the mean of its divisors is an integer number (71923656).

Almost surely, 21332002112 is an apocalyptic number.

1332002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1332002112 is an abundant number, since it is smaller than the sum of its proper divisors (2695722624).

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

1332002112 is an equidigital number, since it uses as much as digits as its factorization.

1332002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991095 (or 991085 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1332002112 is about 36496.6041159996. The cubic root of 1332002112 is about 1100.2759946578.

Adding to 1332002112 its reverse (2112002331), we get a palindrome (3444004443).

The spelling of 1332002112 in words is "one billion, three hundred thirty-two million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 991073 1982146 2973219 3964292 5946438 6937511 7928584 11892876 13875022 15857168 20812533 23785752 27750044 31714336 41625066 47571504 55500088 63428672 83250132 95143008 111000176 166500264 190286016 222000352 333000528 444000704 666001056 1332002112