Search a number
-
+
1123011312 = 24329806761
BaseRepresentation
bin100001011101111…
…1100101011110000
32220021010212220120
41002323330223300
54244442330222
6303234010240
736554303313
oct10273745360
92807125816
101123011312
11526a02025
12274116980
1314b879947
14a920c97a
15688ce15c
hex42efcaf0

1123011312 has 40 divisors (see below), whose sum is σ = 3001154640. Its totient is φ = 361428480.

The previous prime is 1123011299. The next prime is 1123011319. The reversal of 1123011312 is 2131103211.

It is a happy number.

It is a super-2 number, since 2×11230113122 = 2522308813759922688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1123011291 and 1123011300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123011319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401989 + ... + 404772.

It is an arithmetic number, because the mean of its divisors is an integer number (75028866).

Almost surely, 21123011312 is an apocalyptic number.

1123011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1123011312 is an abundant number, since it is smaller than the sum of its proper divisors (1878143328).

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

1123011312 is a wasteful number, since it uses less digits than its factorization.

1123011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806801 (or 806795 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1123011312 is about 33511.3609392397. The cubic root of 1123011312 is about 1039.4287148429.

Adding to 1123011312 its reverse (2131103211), we get a palindrome (3254114523).

The spelling of 1123011312 in words is "one billion, one hundred twenty-three million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 806761 1613522 2420283 3227044 4840566 6454088 9681132 12908176 19362264 23396069 38724528 46792138 70188207 93584276 140376414 187168552 280752828 374337104 561505656 1123011312