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112044214100 = 225271319648029
BaseRepresentation
bin110100001011001011…
…0110000011101010100
3101201012112221210221102
41220112112300131110
53313431304322400
6123250012205232
711044363051220
oct1502626603524
9351175853842
10112044214100
1143577046455
121986b469818
13a747b84c50
1455cc8ab780
152dab7e09d5
hex1a165b0754

112044214100 has 144 divisors (see below), whose sum is σ = 314994422400. Its totient is φ = 33593771520.

The previous prime is 112044214063. The next prime is 112044214187. The reversal of 112044214100 is 1412440211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 151115 + ... + 496914.

Almost surely, 2112044214100 is an apocalyptic number.

112044214100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112044214100 is an abundant number, since it is smaller than the sum of its proper divisors (202950208300).

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

112044214100 is a wasteful number, since it uses less digits than its factorization.

112044214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648082 (or 648075 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 112044214100 its reverse (1412440211), we get a palindrome (113456654311).

The spelling of 112044214100 in words is "one hundred twelve billion, forty-four million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 19 20 25 26 28 35 38 50 52 65 70 76 91 95 100 130 133 140 175 182 190 247 260 266 325 350 364 380 455 475 494 532 650 665 700 910 950 988 1235 1300 1330 1729 1820 1900 2275 2470 2660 3325 3458 4550 4940 6175 6650 6916 8645 9100 12350 13300 17290 24700 34580 43225 86450 172900 648029 1296058 2592116 3240145 4536203 6480290 8424377 9072406 12312551 12960580 16200725 16848754 18144812 22681015 24625102 32401450 33697508 42121885 45362030 49250204 58970639 61562755 64802900 84243770 86187857 90724060 113405075 117941278 123125510 160063163 168487540 172375714 210609425 226810150 235882556 246251020 294853195 307813775 320126326 344751428 421218850 430939285 453620300 589706390 615627550 640252652 800315815 842437700 861878570 1120442141 1179412780 1231255100 1474265975 1600631630 1723757140 2154696425 2240884282 2948531950 3201263260 4001579075 4309392850 4481768564 5602210705 5897063900 8003158150 8618785700 11204421410 16006316300 22408842820 28011053525 56022107050 112044214100