Search a number
-
+
110221110102012 = 223713372727975203
BaseRepresentation
bin11001000011111011011010…
…000111010100011111111100
3112110021000221200012202112120
4121003323122013110133330
5103421330313141231022
61030230513504402540
732134132600416510
oct3103733207243774
9473230850182476
10110221110102012
1132135568215498
121044170a916450
134966a62c75050
141d30a31916140
15cb21860d1d5c
hex643eda1d47fc

110221110102012 has 96 divisors (see below), whose sum is σ = 325087349110272. Its totient is φ = 28283646894336.

The previous prime is 110221110102007. The next prime is 110221110102017. The reversal of 110221110102012 is 210201011122011.

It is a happy number.

110221110102012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (110221110102007) and next prime (110221110102017).

It is a super-2 number, since 2×1102211101020122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110221110101982 and 110221110102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110221110102017) 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, 1363947198 + ... + 1364028005.

It is an arithmetic number, because the mean of its divisors is an integer number (3386326553232).

Almost surely, 2110221110102012 is an apocalyptic number.

110221110102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110221110102012 is an abundant number, since it is smaller than the sum of its proper divisors (214866239008260).

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

110221110102012 is a wasteful number, since it uses less digits than its factorization.

110221110102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727975267 (or 2727975265 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110221110102012 its reverse (210201011122011), we get a palindrome (320422121224023).

The spelling of 110221110102012 in words is "one hundred ten trillion, two hundred twenty-one billion, one hundred ten million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 182 222 259 273 364 444 481 518 546 777 962 1036 1092 1443 1554 1924 2886 3108 3367 5772 6734 10101 13468 20202 40404 2727975203 5455950406 8183925609 10911900812 16367851218 19095826421 32735702436 35463677639 38191652842 57287479263 70927355278 76383305684 100935082511 106391032917 114574958526 141854710556 201870165022 212782065834 229149917052 248245743473 302805247533 403740330044 425564131668 496491486946 605610495066 706545577577 744737230419 992982973892 1211220990132 1312156072643 1413091155154 1489474460838 2119636732731 2624312145286 2826182310308 2978948921676 3936468217929 4239273465462 5248624290572 7872936435858 8478546930924 9185092508501 15745872871716 18370185017002 27555277525503 36740370034004 55110555051006 110221110102012