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3132201312 = 253417312293
BaseRepresentation
bin1011101010110001…
…1001100101100000
322002021210022110000
42322230121211200
522403320420222
61234445540000
7140422162152
oct27254314540
98067708400
103132201312
111368056229
12734b74600
133abbc0c76
14219dbaad2
15134ea99ac
hexbab19960

3132201312 has 240 divisors, whose sum is σ = 10072605312. Its totient is φ = 950538240.

The previous prime is 3132201311. The next prime is 3132201323. The reversal of 3132201312 is 2131022313.

3132201312 is a `hidden beast` number, since 31 + 322 + 0 + 1 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132201311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1364838 + ... + 1367130.

Almost surely, 23132201312 is an apocalyptic number.

3132201312 is a gapful number since it is divisible by the number (32) 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 3132201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036302656).

3132201312 is an abundant number, since it is smaller than the sum of its proper divisors (6940404000).

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

3132201312 is a wasteful number, since it uses less digits than its factorization.

3132201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2346 counting only the distinct ones).

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

The square root of 3132201312 is about 55966.0728656210. The cubic root of 3132201312 is about 1463.1310349816.

Adding to 3132201312 its reverse (2131022313), we get a palindrome (5263223625).

The spelling of 3132201312 in words is "three billion, one hundred thirty-two million, two hundred one thousand, three hundred twelve".