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10332103120 = 245349370061
BaseRepresentation
bin10011001111101011…
…10110000111010000
3222200001200012221221
421213311312013100
5132130004244440
64425124454424
7514016266423
oct114765660720
928601605857
1010332103120
114422225aa9
12200424a414
13c887485b1
147002d19ba
1540710dd4a
hex267d761d0

10332103120 has 40 divisors (see below), whose sum is σ = 24091036200. Its totient is φ = 4120988160.

The previous prime is 10332103063. The next prime is 10332103121. The reversal of 10332103120 is 2130123301.

It can be written as a sum of positive squares in 4 ways, for example, as 462078016 + 9870025104 = 21496^2 + 99348^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10332103094 and 10332103103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332103121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157111 + ... + 212950.

It is an arithmetic number, because the mean of its divisors is an integer number (602275905).

Almost surely, 210332103120 is an apocalyptic number.

10332103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10332103120 is an abundant number, since it is smaller than the sum of its proper divisors (13758933080).

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

10332103120 is a wasteful number, since it uses less digits than its factorization.

10332103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370423 (or 370417 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10332103120 its reverse (2130123301), we get a palindrome (12462226421).

The spelling of 10332103120 in words is "ten billion, three hundred thirty-two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 349 698 1396 1745 2792 3490 5584 6980 13960 27920 370061 740122 1480244 1850305 2960488 3700610 5920976 7401220 14802440 29604880 129151289 258302578 516605156 645756445 1033210312 1291512890 2066420624 2583025780 5166051560 10332103120