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112522340250040 = 23573536831666807
BaseRepresentation
bin11001100101011010100110…
…000111101011000110111000
3112202102000211100201122002211
4121211122212013223012320
5104222031223101000130
61035152014405104504
732462320326061510
oct3145324607530670
9482360740648084
10112522340250040
113294250268aa36
12107537000b8134
134aa2a71156956
141db0178a44840
15d01e6e761a2a
hex6656a61eb1b8

112522340250040 has 128 divisors (see below), whose sum is σ = 290587839759360. Its totient is φ = 38413451096064.

The previous prime is 112522340250037. The next prime is 112522340250049. The reversal of 112522340250040 is 40052043225211.

It is a happy number.

112522340250040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1125223402500402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112522340249984 and 112522340250011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112522340250049) 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, 66674317 + ... + 68341123.

It is an arithmetic number, because the mean of its divisors is an integer number (2270217498120).

Almost surely, 2112522340250040 is an apocalyptic number.

112522340250040 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 112522340250040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145293919879680).

112522340250040 is an abundant number, since it is smaller than the sum of its proper divisors (178065499509320).

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

112522340250040 is a wasteful number, since it uses less digits than its factorization.

112522340250040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667861 (or 1667857 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 112522340250040 its reverse (40052043225211), we get a palindrome (152574383475251).

The spelling of 112522340250040 in words is "one hundred twelve trillion, five hundred twenty-two billion, three hundred forty million, two hundred fifty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 353 683 706 1366 1412 1765 2471 2732 2824 3415 3530 4781 4942 5464 6830 7060 9562 9884 12355 13660 14120 19124 19768 23905 24710 27320 38248 47810 49420 95620 98840 191240 241099 482198 964396 1205495 1666807 1687693 1928792 2410990 3333614 3375386 4821980 6667228 6750772 8334035 8438465 9643960 11667649 13334456 13501544 16668070 16876930 23335298 33336140 33753860 46670596 58338245 66672280 67507720 93341192 116676490 233352980 466705960 588382871 1138429181 1176765742 2276858362 2353531484 2941914355 4118680097 4553716724 4707062968 5692145905 5883828710 7969004267 8237360194 9107433448 11384291810 11767657420 15938008534 16474720388 20593400485 22768583620 23535314840 31876017068 32949440776 39845021335 41186800970 45537167240 63752034136 79690042670 82373601940 159380085340 164747203880 318760170680 401865500893 803731001786 1607462003572 2009327504465 2813058506251 3214924007144 4018655008930 5626117012502 8037310017860 11252234025004 14065292531255 16074620035720 22504468050008 28130585062510 56261170125020 112522340250040