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112102221120 = 2635373156031
BaseRepresentation
bin110100001100111010…
…0000010010101000000
3101201100121002212121120
41220121310002111000
53314041132033440
6123255443352240
711045666105001
oct1503164022500
9351317085546
10112102221120
11435a6865a3a
1219886982680
13a756bb4a26
1455d648b1a8
152db194cdd0
hex1a19d02540

112102221120 has 112 divisors (see below), whose sum is σ = 365544250368. Its totient is φ = 29085972480.

The previous prime is 112102221109. The next prime is 112102221167. The reversal of 112102221120 is 21122201211.

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 112102221120.

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 15 ways as a sum of consecutive naturals, for example, 1542496 + ... + 1613535.

Almost surely, 2112102221120 is an apocalyptic number.

112102221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112102221120 is an abundant number, since it is smaller than the sum of its proper divisors (253442029248).

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

112102221120 is a wasteful number, since it uses less digits than its factorization.

112102221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156088 (or 3156078 counting only the distinct ones).

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

Adding to 112102221120 its reverse (21122201211), we get a palindrome (133224422331).

The spelling of 112102221120 in words is "one hundred twelve billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 370 444 480 555 592 740 888 960 1110 1184 1480 1776 2220 2368 2960 3552 4440 5920 7104 8880 11840 17760 35520 3156031 6312062 9468093 12624124 15780155 18936186 25248248 31560310 37872372 47340465 50496496 63120620 75744744 94680930 100992992 116773147 126241240 151489488 189361860 201985984 233546294 252482480 302978976 350319441 378723720 467092588 504964960 583865735 605957952 700638882 757447440 934185176 1009929920 1167731470 1401277764 1514894880 1751597205 1868370352 2335462940 2802555528 3029789760 3503194410 3736740704 4670925880 5605111056 7006388820 7473481408 9341851760 11210222112 14012777640 18683703520 22420444224 28025555280 37367407040 56051110560 112102221120