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10131443120 = 245139911101
BaseRepresentation
bin10010110111110000…
…11000110110110000
3222011002002122012002
421123320120312300
5131222122134440
64353155553132
7506031563021
oct113370306660
928132078162
1010131443120
114329a32197
121b68bbb7a8
13c55cbca76
146c17bac48
153e46c4115
hex25be18db0

10131443120 has 40 divisors (see below), whose sum is σ = 23725096080. Its totient is φ = 4023417600.

The previous prime is 10131443117. The next prime is 10131443137. The reversal of 10131443120 is 2134413101.

10131443120 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 (40).

It is a super-2 number, since 2×101314431202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10131443092 and 10131443101.

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 7 ways as a sum of consecutive naturals, for example, 444431 + ... + 466670.

It is an arithmetic number, because the mean of its divisors is an integer number (593127402).

Almost surely, 210131443120 is an apocalyptic number.

10131443120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131443120 is an abundant number, since it is smaller than the sum of its proper divisors (13593652960).

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

10131443120 is a wasteful number, since it uses less digits than its factorization.

10131443120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911253 (or 911247 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10131443120 its reverse (2134413101), we get a palindrome (12265856221).

The spelling of 10131443120 in words is "ten billion, one hundred thirty-one million, four hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 5560 11120 911101 1822202 3644404 4555505 7288808 9111010 14577616 18222020 36444040 72888080 126643039 253286078 506572156 633215195 1013144312 1266430390 2026288624 2532860780 5065721560 10131443120