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10330332120 = 233253141107211
BaseRepresentation
bin10011001111011110…
…00101101111011000
3222122221100020121100
421213233011233120
5132124031111440
64425022511400
7513665242233
oct114757055730
928587306540
1010330332120
114421226469
122003735560
13c88278474
146ddd9041a
15406dae230
hex267bc5bd8

10330332120 has 384 divisors, whose sum is σ = 36003502080. Its totient is φ = 2564352000.

The previous prime is 10330332113. The next prime is 10330332157. The reversal of 10330332120 is 2123303301.

10330332120 is a `hidden beast` number, since 1 + 0 + 330 + 332 + 1 + 2 + 0 = 666.

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 = 10330332093 and 10330332102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48958815 + ... + 48959025.

It is an arithmetic number, because the mean of its divisors is an integer number (93759120).

Almost surely, 210330332120 is an apocalyptic number.

10330332120 is a gapful number since it is divisible by the number (10) 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 10330332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18001751040).

10330332120 is an abundant number, since it is smaller than the sum of its proper divisors (25673169960).

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

10330332120 is a wasteful number, since it uses less digits than its factorization.

10330332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10330332120 its reverse (2123303301), we get a palindrome (12453635421).

The spelling of 10330332120 in words is "ten billion, three hundred thirty million, three hundred thirty-two thousand, one hundred twenty".