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1121434350 = 235229713631
BaseRepresentation
bin100001011010111…
…1011101011101110
32220011011202201120
41002311323223232
54244041344400
6303140121410
736535014621
oct10265735356
92804152646
101121434350
11526025253
12273696266
1314b446c2a
14a8d1bdb8
15686bbca0
hex42d7baee

1121434350 has 96 divisors (see below), whose sum is σ = 2918384640. Its totient is φ = 284592000.

The previous prime is 1121434343. The next prime is 1121434351. The reversal of 1121434350 is 534341211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1121434350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121434351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307035 + ... + 310665.

It is an arithmetic number, because the mean of its divisors is an integer number (30399840).

Almost surely, 21121434350 is an apocalyptic number.

1121434350 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 1121434350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459192320).

1121434350 is an abundant number, since it is smaller than the sum of its proper divisors (1796950290).

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

1121434350 is a wasteful number, since it uses less digits than its factorization.

1121434350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1121434350 is about 33487.8239066082. The cubic root of 1121434350 is about 1038.9419558917.

Adding to 1121434350 its reverse (534341211), we get a palindrome (1655775561).

The spelling of 1121434350 in words is "one billion, one hundred twenty-one million, four hundred thirty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 71 75 87 142 145 150 174 213 290 355 426 435 710 725 870 1065 1450 1775 2059 2130 2175 3550 3631 4118 4350 5325 6177 7262 10295 10650 10893 12354 18155 20590 21786 30885 36310 51475 54465 61770 90775 102950 105299 108930 154425 181550 210598 257801 272325 308850 315897 515602 526495 544650 631794 773403 1052990 1289005 1546806 1579485 2578010 2632475 3158970 3867015 5264950 6445025 7476229 7734030 7897425 12890050 14952458 15794850 19335075 22428687 37381145 38670150 44857374 74762290 112143435 186905725 224286870 373811450 560717175 1121434350