Search a number
-
+
10100312314130 = 259371930155849
BaseRepresentation
bin1001001011111010100110…
…0001110001000100010010
31022202120200010112210112002
42102332221201301010102
52310440414423023010
633252004110034002
72061503104060523
oct222765141610422
938676603483462
1010100312314130
113244577a94375
1211716121a8902
135835bc587a0c
1426cc0184a84a
15127aeb7c01a5
hex92fa9871112

10100312314130 has 32 divisors (see below), whose sum is σ = 18201233962800. Its totient is φ = 4035531801600.

The previous prime is 10100312314097. The next prime is 10100312314139. The reversal of 10100312314130 is 3141321300101.

It can be written as a sum of positive squares in 8 ways, for example, as 3903433955521 + 6196878358609 = 1975711^2 + 2489353^2 .

It is a super-2 number, since 2×101003123141302 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10100312314139) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 180822446 + ... + 180878294.

Almost surely, 210100312314130 is an apocalyptic number.

10100312314130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100312314130 is a deficient number, since it is larger than the sum of its proper divisors (8100921648670).

10100312314130 is a wasteful number, since it uses less digits than its factorization.

10100312314130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76094.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10100312314130 its reverse (3141321300101), we get a palindrome (13241633614231).

The spelling of 10100312314130 in words is "ten trillion, one hundred billion, three hundred twelve million, three hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 5 10 937 1874 4685 9370 19301 38602 55849 96505 111698 193010 279245 558490 18085037 36170074 52330513 90425185 104661026 180850370 261652565 523305130 1077941549 2155883098 5389707745 10779415490 1010031231413 2020062462826 5050156157065 10100312314130