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1112200020 = 2232531375387
BaseRepresentation
bin100001001001010…
…1101001101010100
32212111210121121100
41002102231031110
54234210400040
6302210150100
736363354441
oct10222551524
92774717540
101112200020
11520898378
12270582330
13149562a29
14a79d69c8
1567995b30
hex424ad354

1112200020 has 144 divisors (see below), whose sum is σ = 3577287168. Its totient is φ = 279210240.

The previous prime is 1112200009. The next prime is 1112200039. The reversal of 1112200020 is 200022111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1112199975 and 1112200011.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 203767 + ... + 209153.

It is an arithmetic number, because the mean of its divisors is an integer number (24842272).

Almost surely, 21112200020 is an apocalyptic number.

1112200020 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 1112200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788643584).

1112200020 is an abundant number, since it is smaller than the sum of its proper divisors (2465087148).

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

1112200020 is a wasteful number, since it uses less digits than its factorization.

1112200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1112200020 is about 33349.6629668127. The cubic root of 1112200020 is about 1036.0824074915.

Adding to 1112200020 its reverse (200022111), we get a palindrome (1312222131).

The spelling of 1112200020 in words is "one billion, one hundred twelve million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 37 45 60 62 74 90 93 111 124 148 155 180 185 186 222 279 310 333 370 372 444 465 555 558 620 666 740 930 1110 1116 1147 1332 1395 1665 1860 2220 2294 2790 3330 3441 4588 5387 5580 5735 6660 6882 10323 10774 11470 13764 16161 17205 20646 21548 22940 26935 32322 34410 41292 48483 51615 53870 64644 68820 80805 96966 103230 107740 161610 166997 193932 199319 206460 242415 323220 333994 398638 484830 500991 597957 667988 797276 834985 969660 996595 1001982 1195914 1502973 1669970 1793871 1993190 2003964 2391828 2504955 2989785 3005946 3339940 3587742 3986380 5009910 5979570 6011892 6178889 7175484 7514865 8969355 10019820 11959140 12357778 15029730 17938710 18536667 24715556 30059460 30894445 35877420 37073334 55610001 61788890 74146668 92683335 111220002 123577780 185366670 222440004 278050005 370733340 556100010 1112200020