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1134022110 = 235132474759
BaseRepresentation
bin100001110010111…
…1100110111011110
32221000212021212220
41003211330313132
54310302201420
6304310010210
740050012624
oct10345746736
92830767786
101134022110
11532142661
12277946966
13150c33600
14aa877514
1569856840
hex4397cdde

1134022110 has 96 divisors (see below), whose sum is σ = 3010452480. Its totient is φ = 273147264.

The previous prime is 1134022039. The next prime is 1134022159. The reversal of 1134022110 is 112204311.

It is a super-2 number, since 2×11340221102 = 2572012291937704200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1134022110.

It is a congruent number.

It is an unprimeable number.

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, 235911 + ... + 240669.

It is an arithmetic number, because the mean of its divisors is an integer number (31358880).

Almost surely, 21134022110 is an apocalyptic number.

1134022110 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 1134022110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505226240).

1134022110 is an abundant number, since it is smaller than the sum of its proper divisors (1876430370).

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

1134022110 is a wasteful number, since it uses less digits than its factorization.

1134022110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1134022110 is about 33675.2447652575. The cubic root of 1134022110 is about 1042.8147707543.

Adding to 1134022110 its reverse (112204311), we get a palindrome (1246226421).

The spelling of 1134022110 in words is "one billion, one hundred thirty-four million, twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 47 65 78 94 130 141 169 195 235 282 338 390 470 507 611 705 845 1014 1222 1410 1690 1833 2535 3055 3666 4759 5070 6110 7943 9165 9518 14277 15886 18330 23795 23829 28554 39715 47590 47658 61867 71385 79430 119145 123734 142770 185601 223673 238290 309335 371202 447346 618670 671019 804271 928005 1118365 1342038 1608542 1856010 2236730 2412813 2907749 3355095 4021355 4825626 5815498 6710190 8042710 8723247 12064065 14538745 17446494 24128130 29077490 37800737 43616235 75601474 87232470 113402211 189003685 226804422 378007370 567011055 1134022110