Search a number
-
+
10301121312 = 253107303347
BaseRepresentation
bin10011001011111111…
…01010001100100000
3222120220101011220120
421211333222030200
5132044041340222
64422100440240
7513162041436
oct114577521440
928526334816
1010301121312
1144067949a9
121bb59a9080
13c821bb771
146da148d56
1540453e15c
hex265fea320

10301121312 has 24 divisors (see below), whose sum is σ = 27040443696. Its totient is φ = 3433707072.

The previous prime is 10301121289. The next prime is 10301121317. The reversal of 10301121312 is 21312110301.

It is a happy number.

10301121312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×103011213122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10301121291 and 10301121300.

It is not an unprimeable number, because it can be changed into a prime (10301121317) 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 3 ways as a sum of consecutive naturals, for example, 53651578 + ... + 53651769.

It is an arithmetic number, because the mean of its divisors is an integer number (1126685154).

Almost surely, 210301121312 is an apocalyptic number.

10301121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10301121312 is an abundant number, since it is smaller than the sum of its proper divisors (16739322384).

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

10301121312 is a wasteful number, since it uses less digits than its factorization.

10301121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107303360 (or 107303352 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10301121312 its reverse (21312110301), we get a palindrome (31613231613).

The spelling of 10301121312 in words is "ten billion, three hundred one million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107303347 214606694 321910041 429213388 643820082 858426776 1287640164 1716853552 2575280328 3433707104 5150560656 10301121312