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2158051122 = 2321937199857
BaseRepresentation
bin1000000010100001…
…0011111100110010
312120101202100121100
42000220103330302
513404430113442
6554050305230
7104323063143
oct20050237462
95511670540
102158051122
11a08188827
12502888216
13285134a36
1416687baca
15c96d284c
hex80a13f32

2158051122 has 96 divisors (see below), whose sum is σ = 5086224000. Its totient is φ = 658969344.

The previous prime is 2158051121. The next prime is 2158051139. The reversal of 2158051122 is 2211508512.

It is a happy number.

2158051122 is a `hidden beast` number, since 21 + 580 + 51 + 12 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2158051121) 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, 2517718 + ... + 2518574.

It is an arithmetic number, because the mean of its divisors is an integer number (52981500).

Almost surely, 22158051122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2158051122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543112000).

2158051122 is an abundant number, since it is smaller than the sum of its proper divisors (2928172878).

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

2158051122 is a wasteful number, since it uses less digits than its factorization.

2158051122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 2158051122 is about 46454.8288340405. The cubic root of 2158051122 is about 1292.2719257059.

Adding to 2158051122 its reverse (2211508512), we get a palindrome (4369559634).

The spelling of 2158051122 in words is "two billion, one hundred fifty-eight million, fifty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 199 222 333 342 398 597 666 703 857 1194 1406 1714 1791 2109 2571 3582 3781 4218 5142 6327 7363 7562 7713 11343 12654 14726 15426 16283 22089 22686 31709 32566 34029 44178 48849 63418 66267 68058 95127 97698 132534 139897 146547 170543 190254 279794 285381 293094 341086 419691 511629 570762 602471 839382 1023258 1204942 1259073 1534887 1807413 2518146 3069774 3240317 3614826 5422239 6310091 6480634 9720951 10844478 12620182 18930273 19441902 29162853 37860546 56790819 58325706 113581638 119891729 239783458 359675187 719350374 1079025561 2158051122