[go: up one dir, main page]

Search a number
-
+
1131002112 = 2831786627
BaseRepresentation
bin100001101101001…
…1011100100000000
32220211011212020010
41003122123210000
54304014031422
6304121144520
740012234152
oct10332334400
92824155203
101131002112
1153046a699
1227692b140
13150416b26
14aa2ccad2
156945bb0c
hex4369b900

1131002112 has 72 divisors (see below), whose sum is σ = 3187217376. Its totient is φ = 354820096.

The previous prime is 1131002111. The next prime is 1131002149. The reversal of 1131002112 is 2112001311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1131002111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30258 + ... + 56369.

It is an arithmetic number, because the mean of its divisors is an integer number (44266908).

Almost surely, 21131002112 is an apocalyptic number.

1131002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1131002112 is an abundant number, since it is smaller than the sum of its proper divisors (2056215264).

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

1131002112 is an equidigital number, since it uses as much as digits as its factorization.

1131002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86663 (or 86649 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1131002112 is about 33630.3748418004. The cubic root of 1131002112 is about 1041.8882461139. Note that the first 3 decimals are identical.

Adding to 1131002112 its reverse (2112001311), we get a palindrome (3243003423).

The spelling of 1131002112 in words is "one billion, one hundred thirty-one million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 13056 86627 173254 259881 346508 519762 693016 1039524 1386032 1472659 2079048 2772064 2945318 4158096 4417977 5544128 5890636 8316192 8835954 11088256 11781272 16632384 17671908 22176512 23562544 33264768 35343816 47125088 66529536 70687632 94250176 141375264 188500352 282750528 377000704 565501056 1131002112