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10554431130 = 23251723535659
BaseRepresentation
bin10011101010001011…
…11101011010011010
31000020120000122122200
421311011331122122
5133103413244010
64503150031030
7522356120145
oct116505753232
930216018580
1010554431130
114526779361
1220667a8476
13cc281c829
14721a4705c
1541b8c8cc0
hex27517d69a

10554431130 has 192 divisors, whose sum is σ = 30896536320. Its totient is φ = 2485536768.

The previous prime is 10554431123. The next prime is 10554431159. The reversal of 10554431130 is 3113445501.

It is a happy number.

10554431130 is a `hidden beast` number, since 1 + 0 + 5 + 544 + 3 + 113 + 0 = 666.

It is a super-2 number, since 2×105544311302 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10554431094 and 10554431103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1862241 + ... + 1867899.

It is an arithmetic number, because the mean of its divisors is an integer number (160919460).

Almost surely, 210554431130 is an apocalyptic number.

10554431130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10554431130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15448268160).

10554431130 is an abundant number, since it is smaller than the sum of its proper divisors (20342105190).

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

10554431130 is a wasteful number, since it uses less digits than its factorization.

10554431130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5765 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10554431130 its reverse (3113445501), we get a palindrome (13667876631).

The spelling of 10554431130 in words is "ten billion, five hundred fifty-four million, four hundred thirty-one thousand, one hundred thirty".