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10112122444424 = 23711138521148193
BaseRepresentation
bin1001001100100110100101…
…1101110101101010001000
31022210201011012101120121012
42103021221131311222020
52311134111321210144
633301240034103052
72062401551401340
oct223115135655210
938721135346535
1010112122444424
113249588552030
12117396941aa88
135847522a11b0
1426d602161d20
1512808d537e9e
hex93269775a88

10112122444424 has 128 divisors (see below), whose sum is σ = 25460250842880. Its totient is φ = 3636276019200.

The previous prime is 10112122444399. The next prime is 10112122444433. The reversal of 10112122444424 is 42444422121101.

It is a happy number.

It is a super-2 number, since 2×101121224444242 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68162072 + ... + 68310264.

It is an arithmetic number, because the mean of its divisors is an integer number (198908209710).

Almost surely, 210112122444424 is an apocalyptic number.

10112122444424 is a gapful number since it is divisible by the number (14) 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 10112122444424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12730125421440).

10112122444424 is an abundant number, since it is smaller than the sum of its proper divisors (15348128398456).

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

10112122444424 is a wasteful number, since it uses less digits than its factorization.

10112122444424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156751 (or 156747 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 10112122444424 its reverse (42444422121101), we get a palindrome (52556544565525).

The spelling of 10112122444424 in words is "ten trillion, one hundred twelve billion, one hundred twenty-two million, four hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 8521 17042 34084 59647 68168 93731 110773 119294 148193 187462 221546 238588 296386 374924 443092 477176 592772 656117 749848 775411 886184 1037351 1185544 1218503 1312234 1550822 1630123 1926509 2074702 2437006 2624468 3101644 3260246 3853018 4149404 4874012 5248936 6203288 6520492 7706036 8298808 8529521 9748024 11410861 13040984 13485563 15412072 17059042 21191599 22821722 26971126 34118084 42383198 45643444 53942252 68236168 84766396 91286888 107884504 148341193 169532792 296682386 593364772 1186729544 1262752553 2525505106 5051010212 8839267871 10102020424 13890278083 16415783189 17678535742 27780556166 32831566378 35357071484 55561112332 65663132756 70714142968 97231946581 111122224664 114910482323 131326265512 180573615079 194463893162 229820964646 361147230158 388927786324 459641929292 722294460316 777855572648 919283858584 1264015305553 1444588920632 2528030611106 5056061222212 10112122444424