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1113242000 = 24531347911
BaseRepresentation
bin100001001011010…
…1011100110010000
32212120202112221012
41002112223212100
54234442221000
6302244350052
736405254333
oct10226534620
92776675835
101113242000
1152143a212
122709a5328
131498390a0
14a7bc861a
1567aee735
hex425ab990

1113242000 has 160 divisors (see below), whose sum is σ = 2963810304. Its totient is φ = 401856000.

The previous prime is 1113241981. The next prime is 1113242003. The reversal of 1113242000 is 2423111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113242003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1221545 + ... + 1222455.

Almost surely, 21113242000 is an apocalyptic number.

1113242000 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 1113242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481905152).

1113242000 is an abundant number, since it is smaller than the sum of its proper divisors (1850568304).

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

1113242000 is a wasteful number, since it uses less digits than its factorization.

1113242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1113242000 is about 33365.2813565239. The cubic root of 1113242000 is about 1036.4058625547.

Adding to 1113242000 its reverse (2423111), we get a palindrome (1115665111).

The spelling of 1113242000 in words is "one billion, one hundred thirteen million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 47 50 52 65 80 94 100 104 125 130 188 200 208 235 250 260 325 376 400 470 500 520 611 650 752 911 940 1000 1040 1175 1222 1300 1625 1822 1880 2000 2350 2444 2600 3055 3250 3644 3760 4555 4700 4888 5200 5875 6110 6500 7288 9110 9400 9776 11750 11843 12220 13000 14576 15275 18220 18800 22775 23500 23686 24440 26000 30550 36440 42817 45550 47000 47372 48880 59215 61100 72880 76375 85634 91100 94000 94744 113875 118430 122200 152750 171268 182200 189488 214085 227750 236860 244400 296075 305500 342536 364400 428170 455500 473720 556621 592150 611000 685072 856340 911000 947440 1070425 1113242 1184300 1222000 1480375 1712680 1822000 2140850 2226484 2368600 2783105 2960750 3425360 4281700 4452968 4737200 5352125 5566210 5921500 8563400 8905936 10704250 11132420 11843000 13915525 17126800 21408500 22264840 23686000 27831050 42817000 44529680 55662100 69577625 85634000 111324200 139155250 222648400 278310500 556621000 1113242000