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1125301248 = 2103413567
BaseRepresentation
bin100001100010010…
…1011110000000000
32220102110020010000
41003010223300000
54301034114443
6303355040000
736612621441
oct10304536000
92812406100
101125301248
11528226535
12274a40000
1314c19c036
14a96472c8
1568bd28d3
hex4312bc00

1125301248 has 110 divisors (see below), whose sum is σ = 3360617216. Its totient is φ = 375072768.

The previous prime is 1125301241. The next prime is 1125301253. The reversal of 1125301248 is 8421035211.

1125301248 is a `hidden beast` number, since 1 + 1 + 2 + 530 + 124 + 8 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125301241) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76161 + ... + 89727.

Almost surely, 21125301248 is an apocalyptic number.

1125301248 is a gapful number since it is divisible by the number (18) 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 1125301248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680308608).

1125301248 is an abundant number, since it is smaller than the sum of its proper divisors (2235315968).

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

1125301248 is an equidigital number, since it uses as much as digits as its factorization.

1125301248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13599 (or 13572 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1125301248 is about 33545.5101019496. The cubic root of 1125301248 is about 1040.1347359954.

Adding to 1125301248 its reverse (8421035211), we get a palindrome (9546336459).

The spelling of 1125301248 in words is "one billion, one hundred twenty-five million, three hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13567 13824 20736 27134 27648 40701 41472 54268 81402 82944 108536 122103 162804 217072 244206 325608 366309 434144 488412 651216 732618 868288 976824 1098927 1302432 1465236 1736576 1953648 2197854 2604864 2930472 3473152 3907296 4395708 5209728 5860944 6946304 7814592 8791416 10419456 11721888 13892608 15629184 17582832 20838912 23443776 31258368 35165664 41677824 46887552 62516736 70331328 93775104 125033472 140662656 187550208 281325312 375100416 562650624 1125301248