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10114145130 = 2356715713203
BaseRepresentation
bin10010110101101100…
…11001101101101010
3222002212112210210210
421122312121231222
5131203210121010
64351341121550
7505431546405
oct113266315552
928085483723
1010114145130
114320197a31
121b632592b6
13c5254447b
146bd396d3c
153e2e08b20
hex25ad99b6a

10114145130 has 64 divisors (see below), whose sum is σ = 24659624448. Its totient is φ = 2654329920.

The previous prime is 10114145123. The next prime is 10114145141. The reversal of 10114145130 is 3154141101.

It is a junction number, because it is equal to n+sod(n) for n = 10114145097 and 10114145106.

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 31 ways as a sum of consecutive naturals, for example, 3156109 + ... + 3159311.

It is an arithmetic number, because the mean of its divisors is an integer number (385306632).

Almost surely, 210114145130 is an apocalyptic number.

10114145130 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 10114145130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12329812224).

10114145130 is an abundant number, since it is smaller than the sum of its proper divisors (14545479318).

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

10114145130 is a wasteful number, since it uses less digits than its factorization.

10114145130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4851.

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 10114145130 its reverse (3154141101), we get a palindrome (13268286231).

The spelling of 10114145130 in words is "ten billion, one hundred fourteen million, one hundred forty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 1005 1571 2010 3142 3203 4713 6406 7855 9426 9609 15710 16015 19218 23565 32030 47130 48045 96090 105257 210514 214601 315771 429202 526285 631542 643803 1052570 1073005 1287606 1578855 2146010 3157710 3219015 5031913 6438030 10063826 15095739 25159565 30191478 50319130 75478695 150957390 337138171 674276342 1011414513 1685690855 2022829026 3371381710 5057072565 10114145130