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1141243020 = 223456591069
BaseRepresentation
bin100010000000101…
…1111110010001100
32221112110011010000
41010001133302030
54314124234040
6305124444300
740165256061
oct10401376214
92845404100
101141243020
11536224855
1227a249690
13152591238
14ab7d6c68
156a2d1130
hex4405fc8c

1141243020 has 120 divisors (see below), whose sum is σ = 3588908400. Its totient is φ = 303585408.

The previous prime is 1141243013. The next prime is 1141243039. The reversal of 1141243020 is 203421411.

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

It is a junction number, because it is equal to n+sod(n) for n = 1141242984 and 1141243002.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1067046 + ... + 1068114.

It is an arithmetic number, because the mean of its divisors is an integer number (29907570).

Almost surely, 21141243020 is an apocalyptic number.

1141243020 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 1141243020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794454200).

1141243020 is an abundant number, since it is smaller than the sum of its proper divisors (2447665380).

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

1141243020 is a wasteful number, since it uses less digits than its factorization.

1141243020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1141243020 is about 33782.2885548034. The cubic root of 1141243020 is about 1045.0234711577.

Adding to 1141243020 its reverse (203421411), we get a palindrome (1344664431).

The spelling of 1141243020 in words is "one billion, one hundred forty-one million, two hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 659 810 1069 1318 1620 1977 2138 2636 3207 3295 3954 4276 5345 5931 6414 6590 7908 9621 9885 10690 11862 12828 13180 16035 17793 19242 19770 21380 23724 28863 29655 32070 35586 38484 39540 48105 53379 57726 59310 64140 71172 86589 88965 96210 106758 115452 118620 144315 173178 177930 192420 213516 266895 288630 346356 355860 432945 533790 577260 704471 865890 1067580 1408942 1731780 2113413 2817884 3522355 4226826 6340239 7044710 8453652 10567065 12680478 14089420 19020717 21134130 25360956 31701195 38041434 42268260 57062151 63402390 76082868 95103585 114124302 126804780 190207170 228248604 285310755 380414340 570621510 1141243020