Search a number
-
+
110222101021212 = 2232373311171213491
BaseRepresentation
bin11001000011111100010101…
…001011011000001000011100
3112110021010111201210200010200
4121003330111023120020130
5103421334330330134322
61030231200103303500
732134166262166665
oct3103742513301034
9473233451720120
10110222101021212
1132135a265a6784
121044194674ab90
134966b90352b7b
141d30ac737c36c
15cb21e30bc8ac
hex643f152d821c

110222101021212 has 144 divisors (see below), whose sum is σ = 287258104258944. Its totient is φ = 35609107248000.

The previous prime is 110222101021189. The next prime is 110222101021231. The reversal of 110222101021212 is 212120101222011.

110222101021212 is a `hidden beast` number, since 110 + 222 + 101 + 0 + 21 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516177787 + ... + 516391277.

Almost surely, 2110222101021212 is an apocalyptic number.

110222101021212 is a gapful number since it is divisible by the number (12) 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 110222101021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143629052129472).

110222101021212 is an abundant number, since it is smaller than the sum of its proper divisors (177036003237732).

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

110222101021212 is a wasteful number, since it uses less digits than its factorization.

110222101021212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215040 (or 215035 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110222101021212 its reverse (212120101222011), we get a palindrome (322342202243223).

The spelling of 110222101021212 in words is "one hundred ten trillion, two hundred twenty-two billion, one hundred one million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 331 333 444 662 666 993 1171 1324 1332 1986 2342 2979 3513 3972 4684 5958 7026 10539 11916 12247 14052 21078 24494 36741 42156 43327 48988 73482 86654 110223 129981 146964 173308 213491 220446 259962 387601 389943 426982 440892 519924 640473 775202 779886 853964 1162803 1280946 1550404 1559772 1921419 2325606 2561892 3488409 3842838 4651212 6976818 7685676 7899167 13953636 14341237 15798334 23697501 28682474 31596668 43023711 47395002 57364948 70665521 71092503 86047422 94790004 129071133 141331042 142185006 172094844 211996563 249997961 258142266 282662084 284370012 423993126 499995922 516284532 635989689 749993883 847986252 999991844 1271979378 1499987766 2249981649 2543958756 2614624277 2999975532 4499963298 5229248554 7843872831 8999926596 9249924557 10458497108 15687745662 18499849114 23531618493 27749773671 31375491324 36999698228 47063236986 55499547342 82749325091 83249321013 94126473972 110999094684 165498650182 166498642026 248247975273 330997300364 332997284052 496495950546 744743925819 992991901092 1489487851638 2978975703276 3061725028367 6123450056734 9185175085101 12246900113468 18370350170202 27555525255303 36740700340404 55111050510606 110222101021212