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10331110120 = 23517103147503
BaseRepresentation
bin10011001111100100…
…00011101011101000
3222122222210202211011
421213302003223220
5132124231010440
64425051313304
7514004662402
oct114762035350
928588722734
1010331110120
114421707a41
122003a4b834
13c8848b616
14700113b72
15406eb49ea
hex267c83ae8

10331110120 has 64 divisors (see below), whose sum is σ = 24851473920. Its totient is φ = 3851572224.

The previous prime is 10331110079. The next prime is 10331110129. The reversal of 10331110120 is 2101113301.

10331110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10331110120.

It is not an unprimeable number, because it can be changed into a prime (10331110129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3712 + ... + 143791.

It is an arithmetic number, because the mean of its divisors is an integer number (388304280).

Almost surely, 210331110120 is an apocalyptic number.

10331110120 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 10331110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12425736960).

10331110120 is an abundant number, since it is smaller than the sum of its proper divisors (14520363800).

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

10331110120 is a wasteful number, since it uses less digits than its factorization.

10331110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147634 (or 147630 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10331110120 its reverse (2101113301), we get a palindrome (12432223421).

The spelling of 10331110120 in words is "ten billion, three hundred thirty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 103 136 170 206 340 412 515 680 824 1030 1751 2060 3502 4120 7004 8755 14008 17510 35020 70040 147503 295006 590012 737515 1180024 1475030 2507551 2950060 5015102 5900120 10030204 12537755 15192809 20060408 25075510 30385618 50151020 60771236 75964045 100302040 121542472 151928090 258277753 303856180 516555506 607712360 1033111012 1291388765 2066222024 2582777530 5165555060 10331110120