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1141111080 = 233253785669
BaseRepresentation
bin100010000000011…
…1111100100101000
32221112012110010100
41010000333210220
54314111023310
6305121545400
740164166314
oct10400774450
92845173110
101141111080
1153614470a
1227a1a5260
13152546175
14ab7a0b44
156a2a6ec0
hex4403f928

1141111080 has 96 divisors (see below), whose sum is σ = 3808888200. Its totient is φ = 296068608.

The previous prime is 1141111051. The next prime is 1141111091. The reversal of 1141111080 is 801111411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1076758596 + 64352484 = 32814^2 + 8022^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29515 + ... + 56154.

Almost surely, 21141111080 is an apocalyptic number.

1141111080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141111080 is an abundant number, since it is smaller than the sum of its proper divisors (2667777120).

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

1141111080 is a wasteful number, since it uses less digits than its factorization.

1141111080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85723 (or 85716 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The square root of 1141111080 is about 33780.3356999305. The cubic root of 1141111080 is about 1044.9831976114.

Adding to 1141111080 its reverse (801111411), we get a palindrome (1942222491).

The spelling of 1141111080 in words is "one billion, one hundred forty-one million, one hundred eleven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 85669 171338 257007 342676 428345 514014 685352 771021 856690 1028028 1285035 1542042 1713380 2056056 2570070 3084084 3169753 3426760 3855105 5140140 6168168 6339506 7710210 9509259 10280280 12679012 15420420 15848765 19018518 25358024 28527777 30840840 31697530 38037036 47546295 57055554 63395060 76074072 95092590 114111108 126790120 142638885 190185180 228222216 285277770 380370360 570555540 1141111080