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1123131648 = 2831924051
BaseRepresentation
bin100001011110001…
…1010000100000000
32220021100222222110
41002330122010000
54300010203043
6303240335320
736555314202
oct10274320400
92807328873
101123131648
11526a84481
12274174540
1314b8bc652
14a9240772
1568904b33
hex42f1a100

1123131648 has 108 divisors (see below), whose sum is σ = 3155551728. Its totient is φ = 354585600.

The previous prime is 1123131641. The next prime is 1123131661. The reversal of 1123131648 is 8461313211.

It is a super-2 number, since 2×11231316482 = 2522849397478391808, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1123131641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275223 + ... + 279273.

Almost surely, 21123131648 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 1123131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577775864).

1123131648 is an abundant number, since it is smaller than the sum of its proper divisors (2032420080).

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

1123131648 is an equidigital number, since it uses as much as digits as its factorization.

1123131648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4075 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 1123131648 is about 33513.1563419502. The cubic root of 1123131648 is about 1039.4658400927.

Adding to 1123131648 its reverse (8461313211), we get a palindrome (9584444859).

The spelling of 1123131648 in words is "one billion, one hundred twenty-three million, one hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 361 384 456 608 722 768 912 1083 1216 1444 1824 2166 2432 2888 3648 4051 4332 4864 5776 7296 8102 8664 11552 12153 14592 16204 17328 23104 24306 32408 34656 46208 48612 64816 69312 76969 92416 97224 129632 138624 153938 194448 230907 259264 277248 307876 388896 461814 518528 615752 777792 923628 1037056 1231504 1462411 1555584 1847256 2463008 2924822 3111168 3694512 4387233 4926016 5849644 7389024 8774466 9852032 11699288 14778048 17548932 19704064 23398576 29556096 35097864 46797152 59112192 70195728 93594304 140391456 187188608 280782912 374377216 561565824 1123131648