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11131431225 = 352317468199
BaseRepresentation
bin10100101110111110…
…00010100100111001
31001201202202021222120
422113133002210321
5140244121244400
65040321111453
7542563414155
oct122737024471
931652667876
1011131431225
1147a2448042
1221a7a88589
1310852246c5
14778524065
154523a1ca0
hex2977c2939

11131431225 has 24 divisors (see below), whose sum is σ = 18462062400. Its totient is φ = 5918022720.

The previous prime is 11131431217. The next prime is 11131431263. The reversal of 11131431225 is 52213413111.

It is not a de Polignac number, because 11131431225 - 23 = 11131431217 is a prime.

It is a super-2 number, since 2×111314312252 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11131431195 and 11131431204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210325 + ... + 257874.

It is an arithmetic number, because the mean of its divisors is an integer number (769252600).

Almost surely, 211131431225 is an apocalyptic number.

11131431225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11131431225 is a deficient number, since it is larger than the sum of its proper divisors (7330631175).

11131431225 is a wasteful number, since it uses less digits than its factorization.

11131431225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468529 (or 468524 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

Adding to 11131431225 its reverse (52213413111), we get a palindrome (63344844336).

The spelling of 11131431225 in words is "eleven billion, one hundred thirty-one million, four hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 317 951 1585 4755 7925 23775 468199 1404597 2340995 7022985 11704975 35114925 148419083 445257249 742095415 2226286245 3710477075 11131431225