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1131007104 = 2733734483
BaseRepresentation
bin100001101101001…
…1100110010000000
32220211012010002000
41003122130302000
54304014211404
6304121224000
740012254543
oct10332346200
92824163060
101131007104
11530473417
12276932000
13150419196
14aa2d085a
156945d339
hex4369cc80

1131007104 has 128 divisors (see below), whose sum is σ = 3384523200. Its totient is φ = 371755008.

The previous prime is 1131007081. The next prime is 1131007109. The reversal of 1131007104 is 4017001311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1131007109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250047 + ... + 254529.

Almost surely, 21131007104 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 1131007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692261600).

1131007104 is an abundant number, since it is smaller than the sum of its proper divisors (2253516096).

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

1131007104 is an equidigital number, since it uses as much as digits as its factorization.

1131007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1131007104 is about 33630.4490603382. The cubic root of 1131007104 is about 1041.8897790019.

Adding to 1131007104 its reverse (4017001311), we get a palindrome (5148008415).

The spelling of 1131007104 in words is "one billion, one hundred thirty-one million, seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 128 144 146 192 216 219 288 292 384 432 438 576 584 657 864 876 1152 1168 1314 1728 1752 1971 2336 2628 3456 3504 3942 4483 4672 5256 7008 7884 8966 9344 10512 13449 14016 15768 17932 21024 26898 28032 31536 35864 40347 42048 53796 63072 71728 80694 84096 107592 121041 126144 143456 161388 215184 242082 252288 286912 322776 327259 430368 484164 573824 645552 654518 860736 968328 981777 1291104 1309036 1721472 1936656 1963554 2582208 2618072 2945331 3873312 3927108 5164416 5236144 5890662 7746624 7854216 8835993 10472288 11781324 15493248 15708432 17671986 20944576 23562648 31416864 35343972 41889152 47125296 62833728 70687944 94250592 125667456 141375888 188501184 282751776 377002368 565503552 1131007104