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10330344100 = 2252176076673
BaseRepresentation
bin10011001111011110…
…01000101010100100
3222122221100212001001
421213233020222210
5132124032002400
64425023043044
7513665322166
oct114757105244
928587325031
1010330344100
11442123446a
122003740484
13c88280a5b
146ddd94936
15406db2a6a
hex267bc8aa4

10330344100 has 36 divisors (see below), whose sum is σ = 23735488644. Its totient is φ = 3889070080.

The previous prime is 10330344077. The next prime is 10330344113. The reversal of 10330344100 is 144303301.

10330344100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 334743616 + 9995600484 = 18296^2 + 99978^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3036637 + ... + 3040036.

It is an arithmetic number, because the mean of its divisors is an integer number (659319129).

Almost surely, 210330344100 is an apocalyptic number.

10330344100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330344100 is an abundant number, since it is smaller than the sum of its proper divisors (13405144544).

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

10330344100 is a wasteful number, since it uses less digits than its factorization.

10330344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6076704 (or 6076697 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10330344100 its reverse (144303301), we get a palindrome (10474647401).

The spelling of 10330344100 in words is "ten billion, three hundred thirty million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 6076673 12153346 24306692 30383365 60766730 103303441 121533460 151916825 206606882 303833650 413213764 516517205 607667300 1033034410 2066068820 2582586025 5165172050 10330344100