Search a number
-
+
1111322220200 = 2352232271064281
BaseRepresentation
bin10000001010111111111…
…101110101011010101000
310221020111221211010222122
4100022333331311122220
5121201441442021300
62210311232010412
7143201413003613
oct20127775653250
93836457733878
101111322220200
1139934446a675
1215b46b690a08
1380a496b055a
143bb0709317a
151dd9498cc85
hex102bff756a8

1111322220200 has 96 divisors (see below), whose sum is σ = 2708044263360. Its totient is φ = 423328012800.

The previous prime is 1111322220179. The next prime is 1111322220209. The reversal of 1111322220200 is 20222231111.

It is a super-2 number, since 2×11113222202002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1111322220209) 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 23 ways as a sum of consecutive naturals, for example, 512060 + ... + 1576340.

It is an arithmetic number, because the mean of its divisors is an integer number (28208794410).

Almost surely, 21111322220200 is an apocalyptic number.

1111322220200 is a gapful number since it is divisible by the number (10) 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 1111322220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354022131680).

1111322220200 is an abundant number, since it is smaller than the sum of its proper divisors (1596722043160).

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

1111322220200 is a wasteful number, since it uses less digits than its factorization.

1111322220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064547 (or 1064538 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1111322220200 its reverse (20222231111), we get a palindrome (1131544451311).

It can be divided in two parts, 111132 and 2220200, that added together give a palindrome (2331332).

The spelling of 1111322220200 in words is "one trillion, one hundred eleven billion, three hundred twenty-two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 227 230 454 460 575 908 920 1135 1150 1816 2270 2300 4540 4600 5221 5675 9080 10442 11350 20884 22700 26105 41768 45400 52210 104420 130525 208840 261050 522100 1044200 1064281 2128562 4257124 5321405 8514248 10642810 21285620 24478463 26607025 42571240 48956926 53214050 97913852 106428100 122392315 195827704 212856200 241591787 244784630 483183574 489569260 611961575 966367148 979138520 1207958935 1223923150 1932734296 2415917870 2447846300 4831835740 4895692600 5556611101 6039794675 9663671480 11113222202 12079589350 22226444404 24159178700 27783055505 44452888808 48318357400 55566111010 111132222020 138915277525 222264444040 277830555050 555661110100 1111322220200