Search a number
-
+
10121130303 = 3103151216917
BaseRepresentation
bin10010110110100010…
…00011000100111111
3222010100200200122220
421123101003010333
5131212002132203
64352150540423
7505545121344
oct113321030477
928110620586
1010121130303
114324128aa9
121b65667713
13c53b1b9cb
146c02947cb
153e3838653
hex25b44313f

10121130303 has 16 divisors (see below), whose sum is σ = 13716158976. Its totient is φ = 6637629600.

The previous prime is 10121130287. The next prime is 10121130359. The reversal of 10121130303 is 30303112101.

10121130303 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 10121130303 - 24 = 10121130287 is a prime.

It is a super-2 number, since 2×101211303032 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121130403) 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, 61800 + ... + 155117.

It is an arithmetic number, because the mean of its divisors is an integer number (857259936).

Almost surely, 210121130303 is an apocalyptic number.

10121130303 is a deficient number, since it is larger than the sum of its proper divisors (3595028673).

10121130303 is a wasteful number, since it uses less digits than its factorization.

10121130303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217174.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10121130303 its reverse (30303112101), we get a palindrome (40424242404).

The spelling of 10121130303 in words is "ten billion, one hundred twenty-one million, one hundred thirty thousand, three hundred three".

Divisors: 1 3 103 151 309 453 15553 46659 216917 650751 22342451 32754467 67027353 98263401 3373710101 10121130303