Search a number
-
+
1121035350 = 235283127709
BaseRepresentation
bin100001011010001…
…1010010001010110
32220010102111101210
41002310122101112
54243441112400
6303123402250
736531433431
oct10264322126
92803374353
101121035350
115258824a6
12273523386
1314b337436
14a8c56818
156863d950
hex42d1a456

1121035350 has 96 divisors (see below), whose sum is σ = 2839818240. Its totient is φ = 292602240.

The previous prime is 1121035303. The next prime is 1121035351. The reversal of 1121035350 is 535301211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121035351) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1580796 + ... + 1581504.

It is an arithmetic number, because the mean of its divisors is an integer number (29581440).

Almost surely, 21121035350 is an apocalyptic number.

1121035350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121035350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419909120).

1121035350 is an abundant number, since it is smaller than the sum of its proper divisors (1718782890).

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

1121035350 is a wasteful number, since it uses less digits than its factorization.

1121035350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1121035350 is about 33481.8659874267. The cubic root of 1121035350 is about 1038.8187247181.

Adding to 1121035350 its reverse (535301211), we get a palindrome (1656336561).

The spelling of 1121035350 in words is "one billion, one hundred twenty-one million, thirty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 83 127 150 166 249 254 381 415 498 635 709 762 830 1245 1270 1418 1905 2075 2127 2490 3175 3545 3810 4150 4254 6225 6350 7090 9525 10541 10635 12450 17725 19050 21082 21270 31623 35450 52705 53175 58847 63246 90043 105410 106350 117694 158115 176541 180086 263525 270129 294235 316230 353082 450215 527050 540258 588470 790575 882705 900430 1350645 1471175 1581150 1765410 2251075 2701290 2942350 4413525 4502150 6753225 7473569 8827050 13506450 14947138 22420707 37367845 44841414 74735690 112103535 186839225 224207070 373678450 560517675 1121035350