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11130010120 = 23510123911527
BaseRepresentation
bin10100101110110011…
…00111101000001000
31001201200002002121001
422113121213220020
5140243240310440
65040230424344
7542545345045
oct122731475010
931650062531
1011130010120
1147a1667379
1221a75020b4
131084b47908
147782741cc
154521c0b9a
hex297667a08

11130010120 has 64 divisors (see below), whose sum is σ = 25398489600. Its totient is φ = 4389100800.

The previous prime is 11130010103. The next prime is 11130010127. The reversal of 11130010120 is 2101003111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11130010097 and 11130010106.

It is not an unprimeable number, because it can be changed into a prime (11130010127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 959797 + ... + 971323.

It is an arithmetic number, because the mean of its divisors is an integer number (396851400).

Almost surely, 211130010120 is an apocalyptic number.

11130010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11130010120 is an abundant number, since it is smaller than the sum of its proper divisors (14268479480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11130010120 is a wasteful number, since it uses less digits than its factorization.

11130010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11878 (or 11874 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11130010120 its reverse (2101003111), we get a palindrome (13231013231).

The spelling of 11130010120 in words is "eleven billion, one hundred thirty million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 239 404 478 505 808 956 1010 1195 1912 2020 2390 4040 4780 9560 11527 23054 24139 46108 48278 57635 92216 96556 115270 120695 193112 230540 241390 461080 482780 965560 1164227 2328454 2754953 4656908 5509906 5821135 9313816 11019812 11642270 13774765 22039624 23284540 27549530 46569080 55099060 110198120 278250253 556500506 1113001012 1391251265 2226002024 2782502530 5565005060 11130010120