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1141422100 = 2252713432917
BaseRepresentation
bin100010000001000…
…1011100000010100
32221112210020202121
41010002023200110
54314201001400
6305132345324
740166633140
oct10402134024
92845706677
101141422100
11536337355
1227a315244
131526248c0
14ab842220
156a31921a
hex4408b814

1141422100 has 144 divisors (see below), whose sum is σ = 3120439168. Its totient is φ = 352719360.

The previous prime is 1141422097. The next prime is 1141422101. The reversal of 1141422100 is 12241411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141422101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389842 + ... + 392758.

Almost surely, 21141422100 is an apocalyptic number.

1141422100 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 1141422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560219584).

1141422100 is an abundant number, since it is smaller than the sum of its proper divisors (1979017068).

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

1141422100 is a wasteful number, since it uses less digits than its factorization.

1141422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1141422100 is about 33784.9389521426. The cubic root of 1141422100 is about 1045.0781288167.

Adding to 1141422100 its reverse (12241411), we get a palindrome (1153663511).

The spelling of 1141422100 in words is "one billion, one hundred forty-one million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 43 50 52 65 70 86 91 100 130 140 172 175 182 215 260 301 325 350 364 430 455 559 602 650 700 860 910 1075 1118 1204 1300 1505 1820 2150 2236 2275 2795 2917 3010 3913 4300 4550 5590 5834 6020 7525 7826 9100 11180 11668 13975 14585 15050 15652 19565 20419 27950 29170 30100 37921 39130 40838 55900 58340 72925 75842 78260 81676 97825 102095 125431 145850 151684 189605 195650 204190 250862 265447 291700 379210 391300 408380 501724 510475 530894 627155 758420 878017 948025 1020950 1061788 1254310 1327235 1630603 1756034 1896050 2041900 2508620 2654470 3135775 3261206 3512068 3792100 4390085 5308940 6271550 6522412 6636175 8153015 8780170 11414221 12543100 13272350 16306030 17560340 21950425 22828442 26544700 32612060 40765075 43900850 45656884 57071105 81530150 87801700 114142210 163060300 228284420 285355525 570711050 1141422100