Search a number
-
+
112122422440 = 235712714812129
BaseRepresentation
bin110100001101100000…
…1000110010010101000
3101201102000010012121121
41220123001012102220
53314111320004230
6123301444345024
711046332602660
oct1503301062250
9351360105547
10112122422440
1143607203546
12198916a5174
13a75b138982
1455d90291a0
152db35dd77a
hex1a1b0464a8

112122422440 has 128 divisors (see below), whose sum is σ = 290917785600. Its totient is φ = 38095626240.

The previous prime is 112122422437. The next prime is 112122422443. The reversal of 112122422440 is 44224221211.

It is an interprime number because it is at equal distance from previous prime (112122422437) and next prime (112122422443).

It is a super-2 number, since 2×1121224224402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112122422443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52663296 + ... + 52665424.

It is an arithmetic number, because the mean of its divisors is an integer number (2272795200).

Almost surely, 2112122422440 is an apocalyptic number.

112122422440 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 112122422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145458892800).

112122422440 is an abundant number, since it is smaller than the sum of its proper divisors (178795363160).

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

112122422440 is a wasteful number, since it uses less digits than its factorization.

112122422440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3755 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 112122422440 its reverse (44224221211), we get a palindrome (156346643651).

The spelling of 112122422440 in words is "one hundred twelve billion, one hundred twenty-two million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 254 280 508 635 889 1016 1270 1481 1778 2129 2540 2962 3556 4258 4445 5080 5924 7112 7405 8516 8890 10367 10645 11848 14810 14903 17032 17780 20734 21290 29620 29806 35560 41468 42580 51835 59240 59612 74515 82936 85160 103670 119224 149030 188087 207340 270383 298060 376174 414680 540766 596120 752348 940435 1081532 1316609 1351915 1504696 1880870 1892681 2163064 2633218 2703830 3153049 3761740 3785362 5266436 5407660 6306098 6583045 7523480 7570724 9463405 10532872 10815320 12612196 13166090 15141448 15765245 18926810 22071343 25224392 26332180 31530490 37853620 44142686 52664360 63060980 75707240 88285372 110356715 126121960 176570744 220713430 400437223 441426860 800874446 882853720 1601748892 2002186115 2803060561 3203497784 4004372230 5606121122 8008744460 11212242244 14015302805 16017488920 22424484488 28030605610 56061211220 112122422440