Search a number
-
+
1100021310 = 23458915259
BaseRepresentation
bin100000110010000…
…1111111000111110
32211122212212120000
41001210033320332
54223101140220
6301053135130
736155012133
oct10144177076
92748785500
101100021310
11514a2a323
1226848a4a6
13146b8a5ab
14a614658a
156688c390
hex4190fe3e

1100021310 has 80 divisors (see below), whose sum is σ = 2991265200. Its totient is φ = 290024064.

The previous prime is 1100021297. The next prime is 1100021317. The reversal of 1100021310 is 131200011.

It is a super-2 number, since 2×11000213102 = 2420093764908232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100021292 and 1100021301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100021317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64461 + ... + 79719.

It is an arithmetic number, because the mean of its divisors is an integer number (37390815).

Almost surely, 21100021310 is an apocalyptic number.

1100021310 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 1100021310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495632600).

1100021310 is an abundant number, since it is smaller than the sum of its proper divisors (1891243890).

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

1100021310 is a wasteful number, since it uses less digits than its factorization.

1100021310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15367 (or 15358 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1100021310 is about 33166.5691623357. The cubic root of 1100021310 is about 1032.2867814404.

Adding to 1100021310 its reverse (131200011), we get a palindrome (1231221321).

The spelling of 1100021310 in words is "one billion, one hundred million, twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 89 90 135 162 178 267 270 405 445 534 801 810 890 1335 1602 2403 2670 4005 4806 7209 8010 12015 14418 15259 24030 30518 36045 45777 72090 76295 91554 137331 152590 228885 274662 411993 457770 686655 823986 1235979 1358051 1373310 2059965 2471958 2716102 4074153 4119930 6179895 6790255 8148306 12222459 12359790 13580510 20370765 24444918 36667377 40741530 61112295 73334754 110002131 122224590 183336885 220004262 366673770 550010655 1100021310