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1123314324 = 22311101109773
BaseRepresentation
bin100001011110100…
…0110101010010100
32220021201021120020
41002331012222110
54300032024244
6303244305140
736560004606
oct10275065224
92807637506
101123314324
11527099750
122742421b0
1314b954842
14a928b176
156893dd19
hex42f46a94

1123314324 has 96 divisors (see below), whose sum is σ = 2917918080. Its totient is φ = 333504000.

The previous prime is 1123314323. The next prime is 1123314341. The reversal of 1123314324 is 4234133211.

It is a happy number.

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 = 1123314294 and 1123314303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123314323) 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, 1452802 + ... + 1453574.

It is an arithmetic number, because the mean of its divisors is an integer number (30394980).

Almost surely, 21123314324 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 1123314324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458959040).

1123314324 is an abundant number, since it is smaller than the sum of its proper divisors (1794603756).

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

1123314324 is a wasteful number, since it uses less digits than its factorization.

1123314324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 999 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 1123314324 is about 33515.8816682480. The cubic root of 1123314324 is about 1039.5221929902.

Adding to 1123314324 its reverse (4234133211), we get a palindrome (5357447535).

The spelling of 1123314324 in words is "one billion, one hundred twenty-three million, three hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 109 132 202 218 303 327 404 436 606 654 773 1111 1199 1212 1308 1546 2222 2319 2398 3092 3333 3597 4444 4638 4796 6666 7194 8503 9276 11009 13332 14388 17006 22018 25509 33027 34012 44036 51018 66054 78073 84257 102036 121099 132108 156146 168514 234219 242198 252771 312292 337028 363297 468438 484396 505542 726594 858803 926827 936876 1011084 1453188 1717606 1853654 2576409 2780481 3435212 3707308 5152818 5560962 8509957 10305636 11121924 17019914 25529871 34039828 51059742 93609527 102119484 187219054 280828581 374438108 561657162 1123314324