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1111331025 = 325272100801
BaseRepresentation
bin100001000111101…
…1001000011010001
32212110011110120100
41002033121003101
54234000043100
6302135403013
736353105100
oct10217310321
92773143510
101111331025
115203544a2
12270223469
1314931a32c
14a784c037
1567873400
hex423d90d1

1111331025 has 54 divisors (see below), whose sum is σ = 2315522742. Its totient is φ = 508032000.

The previous prime is 1111330949. The next prime is 1111331041. The reversal of 1111331025 is 5201331111.

It can be written as a sum of positive squares in 3 ways, for example, as 21538881 + 1089792144 = 4641^2 + 33012^2 .

It is not a de Polignac number, because 1111331025 - 215 = 1111298257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1111330989 and 1111331007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 39376 + ... + 61425.

Almost surely, 21111331025 is an apocalyptic number.

1111331025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1111331025 is an abundant number, since it is smaller than the sum of its proper divisors (1204191717).

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

1111331025 is a wasteful number, since it uses less digits than its factorization.

1111331025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100831 (or 100816 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1111331025 is about 33336.6318784607. The cubic root of 1111331025 is about 1035.8124965020.

Adding to 1111331025 its reverse (5201331111), we get a palindrome (6312662136).

The spelling of 1111331025 in words is "one billion, one hundred eleven million, three hundred thirty-one thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025 100801 302403 504005 705607 907209 1512015 2116821 2520025 3528035 4536045 4939249 6350463 7560075 10584105 14817747 17640175 22680225 24696245 31752315 44453241 52920525 74088735 123481225 158761575 222266205 370443675 1111331025