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1131122328 = 233733120341
BaseRepresentation
bin100001101101011…
…1000111010011000
32220211101222010120
41003122320322120
54304031403303
6304123513240
740013244510
oct10332707230
92824358116
101131122328
11530541a46
12276988820
1315045976b
14aa320840
1569482553
hex436b8e98

1131122328 has 64 divisors (see below), whose sum is σ = 3241701120. Its totient is φ = 322185600.

The previous prime is 1131122323. The next prime is 1131122339. The reversal of 1131122328 is 8232211311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1131122298 and 1131122307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131122323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45438 + ... + 65778.

It is an arithmetic number, because the mean of its divisors is an integer number (50651580).

Almost surely, 21131122328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131122328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620850560).

1131122328 is an abundant number, since it is smaller than the sum of its proper divisors (2110578792).

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

1131122328 is a wasteful number, since it uses less digits than its factorization.

1131122328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20688 (or 20684 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 1131122328 is about 33632.1621071260. The cubic root of 1131122328 is about 1041.9251594550.

Adding to 1131122328 its reverse (8232211311), we get a palindrome (9363333639).

It can be divided in two parts, 113112 and 2328, that added together give a triangular number (115440 = T480).

The spelling of 1131122328 in words is "one billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 331 662 993 1324 1986 2317 2648 3972 4634 6951 7944 9268 13902 18536 20341 27804 40682 55608 61023 81364 122046 142387 162728 244092 284774 427161 488184 569548 854322 1139096 1708644 3417288 6732871 13465742 20198613 26931484 40397226 47130097 53862968 80794452 94260194 141390291 161588904 188520388 282780582 377040776 565561164 1131122328