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10330201200 = 24352111941189
BaseRepresentation
bin10011001111011101…
…00101110001110000
3222122221002121000110
421213232211301300
5132124012414300
64425020021320
7513664155444
oct114756456160
928587077013
1010330201200
114421147070
122003691840
13c882309b7
146ddd58824
15406d85550
hex267ba5c70

10330201200 has 240 divisors, whose sum is σ = 38000246400. Its totient is φ = 2372428800.

The previous prime is 10330201151. The next prime is 10330201229. The reversal of 10330201200 is 210203301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230206 + ... + 271394.

It is an arithmetic number, because the mean of its divisors is an integer number (158334360).

Almost surely, 210330201200 is an apocalyptic number.

10330201200 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 10330201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19000123200).

10330201200 is an abundant number, since it is smaller than the sum of its proper divisors (27670045200).

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

10330201200 is a wasteful number, since it uses less digits than its factorization.

10330201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41240 (or 41229 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10330201200 its reverse (210203301), we get a palindrome (10540404501).

The spelling of 10330201200 in words is "ten billion, three hundred thirty million, two hundred one thousand, two hundred".