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10330313472 = 2832231511291
BaseRepresentation
bin10011001111011110…
…00001001100000000
3222122221022022000200
421213233001030000
5132124030012342
64425022245200
7513665133663
oct114757011400
928587268020
1010330313472
114421213456
122003726800
13c8826cb2b
146ddd876da
15406da894c
hex267bc1300

10330313472 has 216 divisors, whose sum is σ = 31309893888. Its totient is φ = 3269376000.

The previous prime is 10330313467. The next prime is 10330313473. The reversal of 10330313472 is 27431303301.

10330313472 is a `hidden beast` number, since 10 + 3 + 303 + 1 + 347 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (10330313473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8001147 + ... + 8002437.

Almost surely, 210330313472 is an apocalyptic number.

10330313472 is a gapful number since it is divisible by the number (12) 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 10330313472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15654946944).

10330313472 is an abundant number, since it is smaller than the sum of its proper divisors (20979580416).

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

10330313472 is a wasteful number, since it uses less digits than its factorization.

10330313472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

Adding to 10330313472 its reverse (27431303301), we get a palindrome (37761616773).

It can be divided in two parts, 10330313 and 472, that added together give a triangular number (10330785 = T4545).

The spelling of 10330313472 in words is "ten billion, three hundred thirty million, three hundred thirteen thousand, four hundred seventy-two".