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2135323404 = 2233238310357
BaseRepresentation
bin111111101000110…
…0111001100001100
312111210222200001000
41333101213030030
513333120322104
6551515220300
7103625643444
oct17721471414
95453880030
102135323404
119a6375095
124b7147690
13280507b96
14163843124
15c76e3639
hex7f46730c

2135323404 has 96 divisors (see below), whose sum is σ = 5846883840. Its totient is φ = 672560064.

The previous prime is 2135323357. The next prime is 2135323423. The reversal of 2135323404 is 4043235312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200994 + ... + 211350.

It is an arithmetic number, because the mean of its divisors is an integer number (60905040).

Almost surely, 22135323404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135323404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923441920).

2135323404 is an abundant number, since it is smaller than the sum of its proper divisors (3711560436).

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

2135323404 is a wasteful number, since it uses less digits than its factorization.

2135323404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10476 (or 10468 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2135323404 is about 46209.5596603127. The cubic root of 2135323404 is about 1287.7193450906.

Adding to 2135323404 its reverse (4043235312), we get a palindrome (6178558716).

The spelling of 2135323404 in words is "two billion, one hundred thirty-five million, three hundred twenty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 83 92 108 138 166 207 249 276 332 414 498 621 747 828 996 1242 1494 1909 2241 2484 2988 3818 4482 5727 7636 8964 10357 11454 17181 20714 22908 31071 34362 41428 51543 62142 68724 93213 103086 124284 186426 206172 238211 279639 372852 476422 559278 714633 859631 952844 1118556 1429266 1719262 2143899 2578893 2858532 3438524 4287798 5157786 6431697 7736679 8575596 10315572 12863394 15473358 19771513 23210037 25726788 30946716 39543026 46420074 59314539 79086052 92840148 118629078 177943617 237258156 355887234 533830851 711774468 1067661702 2135323404