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11131100123 = 1121313950909
BaseRepresentation
bin10100101110111011…
…10001101111011011
31001201202010110210112
422113131301233123
5140244030200443
65040310034535
7542560534643
oct122735615733
931652113715
1011131100123
1147a2241300
1221a7948a4b
131085139aa0
14778479523
15452338b18
hex297771bdb

11131100123 has 24 divisors (see below), whose sum is σ = 13271218800. Its totient is φ = 9273401280.

The previous prime is 11131100117. The next prime is 11131100137. The reversal of 11131100123 is 32100113111.

It is a happy number.

It is not a de Polignac number, because 11131100123 - 220 = 11130051547 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11131100098 and 11131100107.

It is not an unprimeable number, because it can be changed into a prime (11131100173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193193 + ... + 244101.

It is an arithmetic number, because the mean of its divisors is an integer number (552967450).

Almost surely, 211131100123 is an apocalyptic number.

11131100123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11131100123 is a deficient number, since it is larger than the sum of its proper divisors (2140118677).

11131100123 is a wasteful number, since it uses less digits than its factorization.

11131100123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51083 (or 51072 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11131100123 its reverse (32100113111), we get a palindrome (43231213234).

The spelling of 11131100123 in words is "eleven billion, one hundred thirty-one million, one hundred thousand, one hundred twenty-three".

Divisors: 1 11 13 121 139 143 1529 1573 1807 16819 19877 50909 218647 559999 661817 6159989 7076351 7279987 77839861 80079857 91992563 856238471 1011918193 11131100123