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10101313130 = 2517193307873
BaseRepresentation
bin10010110100001010…
…11100111001101010
3222001222101212121112
421122011130321222
5131141414010010
64350202110322
7505214513336
oct113205347152
928058355545
1010101313130
114313a23077
121b5aaab3a2
13c4c9a087c
146bb7b67c6
153e1c21a05
hex25a15ce6a

10101313130 has 32 divisors (see below), whose sum is σ = 19351728144. Its totient is φ = 3783131136.

The previous prime is 10101313129. The next prime is 10101313139. The reversal of 10101313130 is 3131310101.

It is a happy number.

10101313130 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 8 ways, for example, as 6798167401 + 3303145729 = 82451^2 + 57473^2 .

It is not an unprimeable number, because it can be changed into a prime (10101313139) 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 15 ways as a sum of consecutive naturals, for example, 121127 + ... + 186746.

Almost surely, 210101313130 is an apocalyptic number.

10101313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101313130 is a deficient number, since it is larger than the sum of its proper divisors (9250415014).

10101313130 is a wasteful number, since it uses less digits than its factorization.

10101313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308090.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10101313130 its reverse (3131310101), we get a palindrome (13232623231).

The spelling of 10101313130 in words is "ten billion, one hundred one million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 5 10 17 34 85 170 193 386 965 1930 3281 6562 16405 32810 307873 615746 1539365 3078730 5233841 10467682 26169205 52338410 59419489 118838978 297097445 594194890 1010131313 2020262626 5050656565 10101313130