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1123133312 = 2772331541
BaseRepresentation
bin100001011110001…
…1010011110000000
32220021101002021002
41002330122132000
54300010231222
6303240351132
736555322100
oct10274323600
92807332232
101123133312
11526a85754
122741754a8
1314b8c0332
14a9241200
1568905392
hex42f1a780

1123133312 has 96 divisors (see below), whose sum is σ = 2615486040. Its totient is φ = 479001600.

The previous prime is 1123133273. The next prime is 1123133351. The reversal of 1123133312 is 2133313211.

It is an interprime number because it is at equal distance from previous prime (1123133273) and next prime (1123133351).

It is a super-2 number, since 2×11231333122 = 2522856873048178688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2075762 + ... + 2076302.

Almost surely, 21123133312 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 1123133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307743020).

1123133312 is an abundant number, since it is smaller than the sum of its proper divisors (1492352728).

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

1123133312 is an equidigital number, since it uses as much as digits as its factorization.

1123133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 881 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 1123133312 is about 33513.1811680121. The cubic root of 1123133312 is about 1039.4663534401.

Adding to 1123133312 its reverse (2133313211), we get a palindrome (3256446523).

The spelling of 1123133312 in words is "one billion, one hundred twenty-three million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 331 392 448 541 662 784 896 1082 1324 1568 2164 2317 2648 3136 3787 4328 4634 5296 6272 7574 8656 9268 10592 15148 16219 17312 18536 21184 26509 30296 32438 34624 37072 42368 53018 60592 64876 69248 74144 106036 121184 129752 148288 179071 212072 242368 259504 296576 358142 424144 484736 519008 716284 848288 1038016 1253497 1432568 1696576 2076032 2506994 2865136 3393152 5013988 5730272 8774479 10027976 11460544 17548958 20055952 22921088 35097916 40111904 70195832 80223808 140391664 160447616 280783328 561566656 1123133312