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1132112322 = 233116173089
BaseRepresentation
bin100001101111010…
…1010100111000010
32220220021021011000
41003132222213002
54304310043242
6304201032430
740024540005
oct10336524702
92826237130
101132112322
11531058820
12277185716
13150715263
14aa4db53c
15695caa4c
hex437aa9c2

1132112322 has 64 divisors (see below), whose sum is σ = 2749852800. Its totient is φ = 342397440.

The previous prime is 1132112291. The next prime is 1132112329. The reversal of 1132112322 is 2232112311.

1132112322 is a `hidden beast` number, since 11 + 321 + 12 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 1132112295 and 1132112304.

It is not an unprimeable number, because it can be changed into a prime (1132112329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364954 + ... + 368042.

It is an arithmetic number, because the mean of its divisors is an integer number (42966450).

Almost surely, 21132112322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132112322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374926400).

1132112322 is an abundant number, since it is smaller than the sum of its proper divisors (1617740478).

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

1132112322 is a wasteful number, since it uses less digits than its factorization.

1132112322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3722 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1132112322 is about 33646.8768535803. The cubic root of 1132112322 is about 1042.2290460884.

Adding to 1132112322 its reverse (2232112311), we get a palindrome (3364224633).

The spelling of 1132112322 in words is "one billion, one hundred thirty-two million, one hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 617 1234 1851 3089 3702 5553 6178 6787 9267 11106 13574 16659 18534 20361 27801 33318 33979 40722 55602 61083 67958 83403 101937 122166 166806 183249 203874 305811 366498 611622 917433 1834866 1905913 3811826 5717739 11435478 17153217 20965043 34306434 41930086 51459651 62895129 102919302 125790258 188685387 377370774 566056161 1132112322