Search a number
-
+
112120222110 = 235132336012053
BaseRepresentation
bin110100001101011100…
…0101101000110011110
3101201101211222102022220
41220122320231012132
53314110234101420
6123301325250210
711046305110011
oct1503270550636
9351354872286
10112120222110
1143605a40396
1219890a03966
13a75a8482c0
1455d8a15378
152db3306840
hex1a1ae2d19e

112120222110 has 128 divisors (see below), whose sum is σ = 291657614976. Its totient is φ = 27421286400.

The previous prime is 112120222103. The next prime is 112120222133. The reversal of 112120222110 is 11222021211.

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 112120222110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54611844 + ... + 54613896.

It is an arithmetic number, because the mean of its divisors is an integer number (2278575117).

Almost surely, 2112120222110 is an apocalyptic number.

112120222110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112120222110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145828807488).

112120222110 is an abundant number, since it is smaller than the sum of its proper divisors (179537392866).

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

112120222110 is a wasteful number, since it uses less digits than its factorization.

112120222110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910.

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

Adding to 112120222110 its reverse (11222021211), we get a palindrome (123342243321).

The spelling of 112120222110 in words is "one hundred twelve billion, one hundred twenty million, two hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 233 390 466 601 699 1165 1202 1398 1803 2053 2330 3005 3029 3495 3606 4106 6010 6058 6159 6990 7813 9015 9087 10265 12318 15145 15626 18030 18174 20530 23439 26689 30290 30795 39065 45435 46878 53378 61590 78130 80067 90870 117195 133445 140033 160134 234390 266890 280066 400335 420099 478349 700165 800670 840198 956698 1233853 1400330 1435047 1820429 2100495 2391745 2467706 2870094 3640858 3701559 4200990 4783490 5461287 6169265 6218537 7175235 7403118 9102145 10922574 12338530 12437074 14350470 16040089 18204290 18507795 18655611 27306435 31092685 32080178 37015590 37311222 48120267 54612870 62185370 80200445 93278055 96240534 160400890 186556110 240601335 287487749 481202670 574975498 862463247 1437438745 1724926494 2874877490 3737340737 4312316235 7474681474 8624632470 11212022211 18686703685 22424044422 37373407370 56060111055 112120222110