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11130103010 = 2513973892269
BaseRepresentation
bin10100101110110011…
…11110010011100010
31001201200020211000102
422113121332103202
5140243301244020
65040232422402
7542546212625
oct122731762342
931650224012
1011130103010
1147a1720144
1221a7547a02
131084b7ac90
14778299dbc
154521dd475
hex29767e4e2

11130103010 has 64 divisors (see below), whose sum is σ = 21863368800. Its totient is φ = 4054966272.

The previous prime is 11130102989. The next prime is 11130103013. The reversal of 11130103010 is 1030103111.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1146296449 + 9983806561 = 33857^2 + 99919^2 .

It is a super-2 number, since 2×111301030102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11130102982 and 11130103000.

It is not an unprimeable number, because it can be changed into a prime (11130103013) 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 31 ways as a sum of consecutive naturals, for example, 4904156 + ... + 4906424.

Almost surely, 211130103010 is an apocalyptic number.

11130103010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11130103010 is a deficient number, since it is larger than the sum of its proper divisors (10733265790).

11130103010 is a wasteful number, since it uses less digits than its factorization.

11130103010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 11130103010 its reverse (1030103111), we get a palindrome (12160206121).

The spelling of 11130103010 in words is "eleven billion, one hundred thirty million, one hundred three thousand, ten".

Divisors: 1 2 5 10 13 26 65 97 130 194 389 485 778 970 1261 1945 2269 2522 3890 4538 5057 6305 10114 11345 12610 22690 25285 29497 37733 50570 58994 75466 147485 188665 220093 294970 377330 440186 490529 882641 981058 1100465 1765282 2200930 2452645 2861209 4413205 4905290 5722418 8826410 11474333 14306045 22948666 28612090 57371665 85616177 114743330 171232354 428080885 856161770 1113010301 2226020602 5565051505 11130103010