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10110096720 = 2432514041801
BaseRepresentation
bin10010110101001101…
…11101010101010000
3222002120221010102200
421122212331111100
5131201141043340
64351114243200
7505352255433
oct113246752520
928076833380
1010110096720
114318982339
121b61a26500
13c51757869
146bca2181a
153e28a9330
hex25a9bd550

10110096720 has 60 divisors (see below), whose sum is σ = 33953077236. Its totient is φ = 2696025600.

The previous prime is 10110096583. The next prime is 10110096721. The reversal of 10110096720 is 2769001101.

10110096720 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 2 ways, for example, as 7033841424 + 3076255296 = 83868^2 + 55464^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110096721) 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 11 ways as a sum of consecutive naturals, for example, 7020181 + ... + 7021620.

Almost surely, 210110096720 is an apocalyptic number.

10110096720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110096720 is an abundant number, since it is smaller than the sum of its proper divisors (23842980516).

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

10110096720 is a wasteful number, since it uses less digits than its factorization.

10110096720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14041820 (or 14041811 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

Adding to 10110096720 its reverse (2769001101), we get a palindrome (12879097821).

The spelling of 10110096720 in words is "ten billion, one hundred ten million, ninety-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 14041801 28083602 42125403 56167204 70209005 84250806 112334408 126376209 140418010 168501612 210627015 224668816 252752418 280836020 337003224 421254030 505504836 561672040 631881045 674006448 842508060 1011009672 1123344080 1263762090 1685016120 2022019344 2527524180 3370032240 5055048360 10110096720