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112040223100 = 225213233120029
BaseRepresentation
bin110100001011000011…
…1100010000101111100
3101201012021110001022121
41220112013202011330
53313424244114400
6123245350452324
711044314116521
oct1502607420574
9351167401277
10112040223100
114357486aa03
121986a0640a4
13a7470b8500
1455cc14d148
152dab2a321a
hex1a161e217c

112040223100 has 108 divisors (see below), whose sum is σ = 264076561560. Its totient is φ = 41241657600.

The previous prime is 112040223091. The next prime is 112040223151. The reversal of 112040223100 is 1322040211.

It is a super-2 number, since 2×1120402231002 (a number of 23 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 5583886 + ... + 5603914.

Almost surely, 2112040223100 is an apocalyptic number.

112040223100 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 112040223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132038280780).

112040223100 is an abundant number, since it is smaller than the sum of its proper divisors (152036338460).

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

112040223100 is a wasteful number, since it uses less digits than its factorization.

112040223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20400 (or 20380 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 112040223100 its reverse (1322040211), we get a palindrome (113362263311).

The spelling of 112040223100 in words is "one hundred twelve billion, forty million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 331 338 650 662 676 845 1300 1324 1655 1690 3310 3380 4225 4303 6620 8275 8450 8606 16550 16900 17212 20029 21515 33100 40058 43030 55939 80116 86060 100145 107575 111878 200290 215150 223756 260377 279695 400580 430300 500725 520754 559390 1001450 1041508 1118780 1301885 1398475 2002900 2603770 2796950 3384901 5207540 5593900 6509425 6629599 6769802 13018850 13259198 13539604 16924505 26037700 26518396 33147995 33849010 66295990 67698020 84622525 86184787 132591980 165739975 169245050 172369574 331479950 338490100 344739148 430923935 662959900 861847870 1120402231 1723695740 2154619675 2240804462 4309239350 4481608924 5602011155 8618478700 11204022310 22408044620 28010055775 56020111550 112040223100