Search a number
-
+
10145011035 = 3517172123117
BaseRepresentation
bin10010111001011000…
…01001010101011011
3222012000121221212110
421130230021111123
5131234110323120
64354402443403
7506255112435
oct113454112533
928160557773
1010145011035
114336659a45
121b71663563
13c58a60613
146c350d655
153e59a42e0
hex25cb0955b

10145011035 has 32 divisors (see below), whose sum is σ = 17197572672. Its totient is φ = 5089218560.

The previous prime is 10145011003. The next prime is 10145011087. The reversal of 10145011035 is 53011054101.

It is a happy number.

10145011035 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10145011035 - 25 = 10145011003 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 427297 + ... + 450413.

It is an arithmetic number, because the mean of its divisors is an integer number (537424146).

Almost surely, 210145011035 is an apocalyptic number.

10145011035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10145011035 is a deficient number, since it is larger than the sum of its proper divisors (7052561637).

10145011035 is a wasteful number, since it uses less digits than its factorization.

10145011035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24863.

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 10145011035 its reverse (53011054101), we get a palindrome (63156065136).

The spelling of 10145011035 in words is "ten billion, one hundred forty-five million, eleven thousand, thirty-five".

Divisors: 1 3 5 15 17 51 85 255 1721 5163 8605 23117 25815 29257 69351 87771 115585 146285 346755 392989 438855 1178967 1964945 5894835 39784357 119353071 198921785 596765355 676334069 2029002207 3381670345 10145011035