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110144242301104 = 241122317913818967
BaseRepresentation
bin11001000010110011110100…
…011011111011100010110000
3112102222200112121212212221101
4121002303310123323202300
5103414100402012113404
61030131322200534144
732125442001040624
oct3102636433734260
9472880477785841
10110144242301104
1132105a02362a00
121042a837a81354
13495c732a3019b
141d2b01cb57184
15cb0187abc2a4
hex642cf46fb8b0

110144242301104 has 120 divisors (see below), whose sum is σ = 246134613876480. Its totient is φ = 47621262353280.

The previous prime is 110144242301089. The next prime is 110144242301147. The reversal of 110144242301104 is 401103242441011.

It is a happy number.

It is a super-2 number, since 2×1101442423011042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1061029 + ... + 14879995.

It is an arithmetic number, because the mean of its divisors is an integer number (2051121782304).

Almost surely, 2110144242301104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110144242301104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123067306938240).

110144242301104 is an abundant number, since it is smaller than the sum of its proper divisors (135990371575376).

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

110144242301104 is a wasteful number, since it uses less digits than its factorization.

110144242301104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13819199 (or 13819182 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 110144242301104 its reverse (401103242441011), we get a palindrome (511247484742115).

The spelling of 110144242301104 in words is "one hundred ten trillion, one hundred forty-four billion, two hundred forty-two million, three hundred one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 176 179 184 242 253 358 368 484 506 716 968 1012 1432 1936 1969 2024 2783 2864 3938 4048 4117 5566 7876 8234 11132 15752 16468 21659 22264 31504 32936 43318 44528 45287 65872 86636 90574 173272 181148 346544 362296 498157 724592 996314 1992628 3985256 7970512 13818967 27637934 55275868 110551736 152008637 221103472 304017274 317836241 608034548 635672482 1216069096 1271344964 1672095007 2432138192 2473595093 2542689928 3344190014 3496198651 4947190186 5085379856 6688380028 6992397302 9894380372 13376760056 13984794604 19788760744 26753520112 27209546023 27969589208 38458185161 39577521488 54419092046 55939178416 56892687139 76916370322 108838184092 113785374278 153832740644 217676368184 227570748556 299305006253 307665481288 435352736368 455141497112 598610012506 615330962576 625819558529 910282994224 1197220025012 1251639117058 2394440050024 2503278234116 4788880100048 5006556468232 6884015143819 10013112936464 13768030287638 27536060575276 55072121150552 110144242301104