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2155040100 = 2233523492287
BaseRepresentation
bin1000000001110011…
…0100110101100100
312120012002101021000
42000130310311210
513403142240400
6553501553300
7104255352513
oct20034646544
95505071230
102155040100
11a06511584
12501875830
1328461c375
141662d667a
15c92da600
hex80734d64

2155040100 has 144 divisors (see below), whose sum is σ = 6950944000. Its totient is φ = 572780160.

The previous prime is 2155040093. The next prime is 2155040101. The reversal of 2155040100 is 10405512.

2155040100 is a `hidden beast` number, since 215 + 50 + 401 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2155040101) 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, 941157 + ... + 943443.

Almost surely, 22155040100 is an apocalyptic number.

2155040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2155040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475472000).

2155040100 is an abundant number, since it is smaller than the sum of its proper divisors (4795903900).

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

2155040100 is a wasteful number, since it uses less digits than its factorization.

2155040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2155040100 is about 46422.4094592256. The cubic root of 2155040100 is about 1291.6706315984.

Adding to 2155040100 its reverse (10405512), we get a palindrome (2165445612).

The spelling of 2155040100 in words is "two billion, one hundred fifty-five million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 349 450 540 675 698 900 1047 1350 1396 1745 2094 2287 2700 3141 3490 4188 4574 5235 6282 6861 6980 8725 9148 9423 10470 11435 12564 13722 15705 17450 18846 20583 20940 22870 26175 27444 31410 34305 34900 37692 41166 45740 47115 52350 57175 61749 62820 68610 78525 82332 94230 102915 104700 114350 123498 137220 157050 171525 188460 205830 228700 235575 246996 308745 314100 343050 411660 471150 514575 617490 686100 798163 942300 1029150 1234980 1543725 1596326 2058300 2394489 3087450 3192652 3990815 4788978 6174900 7183467 7981630 9577956 11972445 14366934 15963260 19954075 21550401 23944890 28733868 35917335 39908150 43100802 47889780 59862225 71834670 79816300 86201604 107752005 119724450 143669340 179586675 215504010 239448900 359173350 431008020 538760025 718346700 1077520050 2155040100