Search a number
-
+
1102161000 = 233531721611
BaseRepresentation
bin100000110110001…
…1010010001101000
32211210220120122210
41001230122101220
54224123123000
6301211045120
736212133243
oct10154322150
92753816583
101102161000
11516160966
122691407a0
13147459495
14a654225a
1566b61350
hex41b1a468

1102161000 has 128 divisors (see below), whose sum is σ = 3641189760. Its totient is φ = 276608000.

The previous prime is 1102160933. The next prime is 1102161013. The reversal of 1102161000 is 1612011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40195 + ... + 61805.

It is an arithmetic number, because the mean of its divisors is an integer number (28446795).

Almost surely, 21102161000 is an apocalyptic number.

1102161000 is a gapful number since it is divisible by the number (10) 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 1102161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820594880).

1102161000 is an abundant number, since it is smaller than the sum of its proper divisors (2539028760).

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

1102161000 is a wasteful number, since it uses less digits than its factorization.

1102161000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21652 (or 21638 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1102161000 is about 33198.8102196449. The cubic root of 1102161000 is about 1032.9556603393.

Adding to 1102161000 its reverse (1612011), we get a palindrome (1103773011).

The spelling of 1102161000 in words is "one billion, one hundred two million, one hundred sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 5100 6375 8500 10200 12750 17000 21611 25500 43222 51000 64833 86444 108055 129666 172888 216110 259332 324165 367387 432220 518664 540275 648330 734774 864440 1080550 1102161 1296660 1469548 1620825 1836935 2161100 2204322 2593320 2701375 2939096 3241650 3673870 4322200 4408644 5402750 5510805 6483300 7347740 8104125 8817288 9184675 10805500 11021610 12966600 14695480 16208250 18369350 21611000 22043220 27554025 32416500 36738700 44086440 45923375 55108050 64833000 73477400 91846750 110216100 137770125 183693500 220432200 275540250 367387000 551080500 1102161000