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1112144100 = 2235219593307
BaseRepresentation
bin100001001001001…
…1111100011100100
32212111200202220020
41002102133203210
54234202102400
6302205035140
736363032424
oct10222374344
92774622806
101112144100
1152085a361
12270555ab0
13149543442
14a79c0484
15679842a0
hex4249f8e4

1112144100 has 144 divisors (see below), whose sum is σ = 3445612800. Its totient is φ = 276117120.

The previous prime is 1112144087. The next prime is 1112144107. The reversal of 1112144100 is 14412111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1112144100.

It is not an unprimeable number, because it can be changed into a prime (1112144107) 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, 334647 + ... + 337953.

Almost surely, 21112144100 is an apocalyptic number.

1112144100 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 1112144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722806400).

1112144100 is an abundant number, since it is smaller than the sum of its proper divisors (2333468700).

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

1112144100 is a wasteful number, since it uses less digits than its factorization.

1112144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1112144100 is about 33348.8245669919. The cubic root of 1112144100 is about 1036.0650428993.

Adding to 1112144100 its reverse (14412111), we get a palindrome (1126556211).

The spelling of 1112144100 in words is "one billion, one hundred twelve million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 59 60 75 76 95 100 114 118 150 177 190 228 236 285 295 300 354 380 475 570 590 708 885 950 1121 1140 1180 1425 1475 1770 1900 2242 2850 2950 3307 3363 3540 4425 4484 5605 5700 5900 6614 6726 8850 9921 11210 13228 13452 16535 16815 17700 19842 22420 28025 33070 33630 39684 49605 56050 62833 66140 67260 82675 84075 99210 112100 125666 165350 168150 188499 195113 198420 248025 251332 314165 330700 336300 376998 390226 496050 585339 628330 753996 780452 942495 975565 992100 1170678 1256660 1570825 1884990 1951130 2341356 2926695 3141650 3707147 3769980 3902260 4712475 4877825 5853390 6283300 7414294 9424950 9755650 11121441 11706780 14633475 14828588 18535735 18849900 19511300 22242882 29266950 37071470 44485764 55607205 58533900 74142940 92678675 111214410 185357350 222428820 278036025 370714700 556072050 1112144100