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112011310020 = 223559241131293
BaseRepresentation
bin110100001010001100…
…1001111001111000100
3101201010021001010000210
41220110121033033010
53313344343410040
6123242435035420
711043513266031
oct1502431171704
9351107033023
10112011310020
114355a5120a5
121986043bb70
13a74110418c
1455c8384388
152da8991480
hex1a1464f3c4

112011310020 has 96 divisors (see below), whose sum is σ = 320273331840. Its totient is φ = 29241354240.

The previous prime is 112011309913. The next prime is 112011310027. The reversal of 112011310020 is 20013110211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112011309978 and 112011310005.

It is not an unprimeable number, because it can be changed into a prime (112011310027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 787494 + ... + 918786.

It is an arithmetic number, because the mean of its divisors is an integer number (3336180540).

Almost surely, 2112011310020 is an apocalyptic number.

112011310020 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 112011310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160136665920).

112011310020 is an abundant number, since it is smaller than the sum of its proper divisors (208262021820).

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

112011310020 is a wasteful number, since it uses less digits than its factorization.

112011310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131605 (or 131603 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 112011310020 its reverse (20013110211), we get a palindrome (132024420231).

The spelling of 112011310020 in words is "one hundred twelve billion, eleven million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 241 295 354 482 590 708 723 885 964 1180 1205 1446 1770 2410 2892 3540 3615 4820 7230 14219 14460 28438 42657 56876 71095 85314 131293 142190 170628 213285 262586 284380 393879 426570 525172 656465 787758 853140 1312930 1575516 1969395 2625860 3938790 7746287 7877580 15492574 23238861 30985148 31641613 38731435 46477722 63283226 77462870 92955444 94924839 116194305 126566452 154925740 158208065 189849678 232388610 316416130 379699356 464777220 474624195 632832260 949248390 1866855167 1898496780 3733710334 5600565501 7467420668 9334275835 11201131002 18668551670 22402262004 28002827505 37337103340 56005655010 112011310020