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1122112332 = 2233113130469
BaseRepresentation
bin100001011100010…
…0001001101001100
32220012110012202000
41002320201031030
54244230043312
6303202432300
736543540345
oct10270411514
92805405660
101122112332
11526448670
12273962690
1314b6236c3
14a90570cc
15687a2adc
hex42e2134c

1122112332 has 96 divisors (see below), whose sum is σ = 3276134400. Its totient is φ = 329054400.

The previous prime is 1122112289. The next prime is 1122112349. The reversal of 1122112332 is 2332112211.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21594 + ... + 52062.

It is an arithmetic number, because the mean of its divisors is an integer number (34126400).

Almost surely, 21122112332 is an apocalyptic number.

1122112332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122112332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638067200).

1122112332 is an abundant number, since it is smaller than the sum of its proper divisors (2154022068).

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

1122112332 is a wasteful number, since it uses less digits than its factorization.

1122112332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30524 (or 30516 counting only the distinct ones).

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

The square root of 1122112332 is about 33497.9451907128. The cubic root of 1122112332 is about 1039.1512836584.

Adding to 1122112332 its reverse (2332112211), we get a palindrome (3454224543).

The spelling of 1122112332 in words is "one billion, one hundred twenty-two million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 4092 6138 9207 12276 18414 30469 36828 60938 91407 121876 182814 274221 335159 365628 548442 670318 822663 944539 1005477 1096884 1340636 1645326 1889078 2010954 2833617 3016431 3290652 3778156 4021908 5667234 6032862 8500851 9049293 10389929 11334468 12065724 17001702 18098586 20779858 25502553 31169787 34003404 36197172 41559716 51005106 62339574 93509361 102010212 124679148 187018722 280528083 374037444 561056166 1122112332