Search a number
-
+
11322213213300 = 223521131110676571
BaseRepresentation
bin1010010011000010100001…
…1111110010010001110100
31111002101121111122212012020
42210300220133302101310
52441000343040311200
640025204122553140
72246000666253543
oct244605037622164
944071544585166
1011322213213300
1136757a620a130
12132a3a23687b0
136418ac307252
142b1dd88ba15a
151497b4060ea0
hexa4c287f2474

11322213213300 has 144 divisors (see below), whose sum is σ = 36889829566464. Its totient is φ = 2656237680000.

The previous prime is 11322213213263. The next prime is 11322213213319. The reversal of 11322213213300 is 331231222311.

It is a super-2 number, since 2×113222132133002 (a number of 27 digits) contains 22 as substring.

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, 55235986 + ... + 55440585.

Almost surely, 211322213213300 is an apocalyptic number.

11322213213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11322213213300 is an abundant number, since it is smaller than the sum of its proper divisors (25567616353164).

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

11322213213300 is a wasteful number, since it uses less digits than its factorization.

11322213213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110676630 (or 110676623 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11322213213300 its reverse (331231222311), we get a palindrome (11653444435611).

The spelling of 11322213213300 in words is "eleven trillion, three hundred twenty-two billion, two hundred thirteen million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 31 33 44 50 55 60 62 66 75 93 100 110 124 132 150 155 165 186 220 275 300 310 330 341 372 465 550 620 660 682 775 825 930 1023 1100 1364 1550 1650 1705 1860 2046 2325 3100 3300 3410 4092 4650 5115 6820 8525 9300 10230 17050 20460 25575 34100 51150 102300 110676571 221353142 332029713 442706284 553382855 664059426 1106765710 1217442281 1328118852 1660148565 2213531420 2434884562 2766914275 3320297130 3430973701 3652326843 4869769124 5533828550 6087211405 6640594260 6861947402 7304653686 8300742825 10292921103 11067657100 12174422810 13723894804 14609307372 16601485650 17154868505 18261634215 20585842206 24348845620 30436057025 33202971300 34309737010 36523268430 37740710711 41171684412 51464605515 60872114050 68619474020 73046536860 75481421422 85774342525 91308171075 102929211030 113222132133 121744228100 150962842844 171548685050 182616342150 188703553555 205858422060 226444264266 257323027575 343097370100 365232684300 377407107110 452888528532 514646055150 566110660665 754814214220 943517767775 1029292110300 1132221321330 1887035535550 2264442642660 2830553303325 3774071071100 5661106606650 11322213213300