Search a number
-
+
1003123121 = 711131002121
BaseRepresentation
bin111011110010100…
…111000110110001
32120220112221020012
4323302213012301
54023244414441
6243312224305
733600256130
oct7362470661
92526487205
101003123121
11475267280
1223bb3b095
1312ca918a0
1497321917
155d0eb9eb
hex3bca71b1

1003123121 has 16 divisors (see below), whose sum is σ = 1346851968. Its totient is φ = 721526400.

The previous prime is 1003123117. The next prime is 1003123123. The reversal of 1003123121 is 1213213001.

It is not a de Polignac number, because 1003123121 - 22 = 1003123117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003123096 and 1003123105.

It is not an unprimeable number, because it can be changed into a prime (1003123123) 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, 500060 + ... + 502061.

It is an arithmetic number, because the mean of its divisors is an integer number (84178248).

Almost surely, 21003123121 is an apocalyptic number.

1003123121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003123121 is a deficient number, since it is larger than the sum of its proper divisors (343728847).

1003123121 is a wasteful number, since it uses less digits than its factorization.

1003123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002152.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1003123121 is about 31672.1189850000. The cubic root of 1003123121 is about 1001.0399584449.

Adding to 1003123121 its reverse (1213213001), we get a palindrome (2216336122).

The spelling of 1003123121 in words is "one billion, three million, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 1002121 7014847 11023331 13027573 77163317 91193011 143303303 1003123121