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1120242150 = 23552137673
BaseRepresentation
bin100001011000101…
…1000100111100110
32220001221012100000
41002301120213212
54243240222100
6303054402130
736521621046
oct10261304746
92801835300
101120242150
11525390565
12273200346
1314b11a3a1
14a8acb726
1568533900
hex42c589e6

1120242150 has 144 divisors (see below), whose sum is σ = 3148642224. Its totient is φ = 296110080.

The previous prime is 1120242127. The next prime is 1120242181. The reversal of 1120242150 is 512420211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1664214 + ... + 1664886.

It is an arithmetic number, because the mean of its divisors is an integer number (21865571).

Almost surely, 21120242150 is an apocalyptic number.

1120242150 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 1120242150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574321112).

1120242150 is an abundant number, since it is smaller than the sum of its proper divisors (2028400074).

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

1120242150 is a wasteful number, since it uses less digits than its factorization.

1120242150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1120242150 is about 33470.0186734337. The cubic root of 1120242150 is about 1038.5736579798.

Adding to 1120242150 its reverse (512420211), we get a palindrome (1632662361).

The spelling of 1120242150 in words is "one billion, one hundred twenty million, two hundred forty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 137 150 162 225 243 270 274 405 411 450 486 673 675 685 810 822 1215 1233 1346 1350 1370 2019 2025 2055 2430 2466 3365 3425 3699 4038 4050 4110 6057 6075 6165 6730 6850 7398 10095 10275 11097 12114 12150 12330 16825 18171 18495 20190 20550 22194 30285 30825 33291 33650 36342 36990 50475 54513 55485 60570 61650 66582 90855 92201 92475 100950 109026 110970 151425 163539 166455 181710 184402 184950 272565 276603 277425 302850 327078 332910 454275 461005 545130 553206 554850 817695 829809 832275 908550 922010 1362825 1383015 1635390 1659618 1664550 2305025 2489427 2725650 2766030 4088475 4149045 4610050 4978854 6915075 7468281 8176950 8298090 12447135 13830150 14936562 20745225 22404843 24894270 37341405 41490450 44809686 62235675 74682810 112024215 124471350 186707025 224048430 373414050 560121075 1120242150