Search a number
-
+
1110021000 = 233531133637
BaseRepresentation
bin100001000101001…
…1001001110001000
32212100200220112220
41002022121032020
54233131133000
6302051334040
736336010554
oct10212311610
92770626486
101110021000
1151a63a230
1226b8b1320
13148c7bc7a
14a75ca864
15676b51a0
hex42299388

1110021000 has 128 divisors (see below), whose sum is σ = 3778220160. Its totient is φ = 269088000.

The previous prime is 1110020981. The next prime is 1110021019. The reversal of 1110021000 is 1200111.

It is an interprime number because it is at equal distance from previous prime (1110020981) and next prime (1110021019).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1110021000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16182 + ... + 49818.

It is an arithmetic number, because the mean of its divisors is an integer number (29517345).

Almost surely, 21110021000 is an apocalyptic number.

1110021000 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 1110021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889110080).

1110021000 is an abundant number, since it is smaller than the sum of its proper divisors (2668199160).

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

1110021000 is a wasteful number, since it uses less digits than its factorization.

1110021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33672 (or 33658 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1110021000 is about 33316.9776540430. The cubic root of 1110021000 is about 1035.4053349492.

Adding to 1110021000 its reverse (1200111), we get a palindrome (1111221111).

The spelling of 1110021000 in words is "one billion, one hundred ten million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 33637 67274 100911 134548 168185 201822 269096 336370 370007 403644 504555 672740 740014 807288 840925 1009110 1110021 1345480 1480028 1681850 1850035 2018220 2220042 2522775 2960056 3363700 3700070 4036440 4204625 4440084 5045550 5550105 6727400 7400140 8409250 8880168 9250175 10091100 11100210 12613875 14800280 16818500 18500350 20182200 22200420 25227750 27750525 33637000 37000700 44400840 46250875 50455500 55501050 74001400 92501750 100911000 111002100 138752625 185003500 222004200 277505250 370007000 555010500 1110021000