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110444222002324 = 227192918749381817
BaseRepresentation
bin11001000111001011001100…
…100111101011010010010100
3112111001100211201121121222211
4121013023030213223102110
5103434004231313033244
61030521213011003204
732156221531321210
oct3107131447532224
9474040751547884
10110444222002324
113221114a055451
12104789b6599504
134981acb5a2682
141d3b7592d3940
15cb7d935bb934
hex6472cc9eb494

110444222002324 has 96 divisors (see below), whose sum is σ = 240545340000000. Its totient is φ = 43293315953664.

The previous prime is 110444222002243. The next prime is 110444222002327. The reversal of 110444222002324 is 423200222444011.

It is a super-2 number, since 2×1104442220023242 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110444222002327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289068664 + ... + 289450480.

It is an arithmetic number, because the mean of its divisors is an integer number (2505680625000).

Almost surely, 2110444222002324 is an apocalyptic number.

110444222002324 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 110444222002324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120272670000000).

110444222002324 is an abundant number, since it is smaller than the sum of its proper divisors (130101117997676).

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

110444222002324 is a wasteful number, since it uses less digits than its factorization.

110444222002324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400625 (or 400623 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 110444222002324 its reverse (423200222444011), we get a palindrome (533644444446335).

The spelling of 110444222002324 in words is "one hundred ten trillion, four hundred forty-four billion, two hundred twenty-two million, two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 116 133 203 266 406 532 551 812 1102 2204 3857 7714 15428 18749 37498 74996 131243 262486 356231 381817 524972 543721 712462 763634 1087442 1424924 1527268 2174884 2493617 2672719 3806047 4987234 5345438 7254523 7612094 9974468 10330699 10690876 11072693 14509046 15224188 20661398 22145386 29018092 41322796 44290772 50781661 72314893 77508851 101563322 144629786 155017702 203126644 210381167 289259572 310035404 420762334 841524668 1472668169 2945336338 5890672676 7158686933 14317373866 28634747732 50110808531 100221617062 136015051727 200443234124 207601921057 272030103454 415203842114 544060206908 830407684228 952105362089 1453213447399 1904210724178 2906426894798 3808421448356 3944436500083 5812853789596 7888873000166 15777746000332 27611055500581 55222111001162 110444222002324