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21011122112200 = 23521136607260893
BaseRepresentation
bin1001100011100000010000…
…11110000100011011001000
32202101122101020002202211021
410301300020132010123020
510223221234230042300
6112404213134042224
74266001123123003
oct461601036043310
982348336082737
1021011122112200
1167708487454a0
12243411a349374
13b9545689034c
14528d2d88053a
15266832c5cd1a
hex131c087846c8

21011122112200 has 96 divisors (see below), whose sum is σ = 53293506140160. Its totient is φ = 7640170041600.

The previous prime is 21011122112179. The next prime is 21011122112207. The reversal of 21011122112200 is 221122111012.

It is not an unprimeable number, because it can be changed into a prime (21011122112207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80404954 + ... + 80665846.

It is an arithmetic number, because the mean of its divisors is an integer number (555140688960).

Almost surely, 221011122112200 is an apocalyptic number.

21011122112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011122112200 is an abundant number, since it is smaller than the sum of its proper divisors (32282384027960).

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

21011122112200 is a wasteful number, since it uses less digits than its factorization.

21011122112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297527 (or 297518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21011122112200 its reverse (221122111012), we get a palindrome (21232244223212).

The spelling of 21011122112200 in words is "twenty-one trillion, eleven billion, one hundred twenty-two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 36607 73214 146428 183035 260893 292856 366070 402677 521786 732140 805354 915175 1043572 1304465 1464280 1610708 1830350 2013385 2087144 2608930 2869823 3221416 3660700 4026770 5217860 5739646 6522325 7321400 8053540 10066925 10435720 11479292 13044650 14349115 16107080 20133850 22958584 26089300 28698230 40267700 52178600 57396460 71745575 80535400 114792920 143491150 286982300 573964600 9550510051 19101020102 38202040204 47752550255 76404080408 95505100510 105055610561 191010201020 210111221122 238762751275 382020402040 420222442244 477525502550 525278052805 840444884488 955051005100 1050556105610 1910102010200 2101112211220 2626390264025 4202224422440 5252780528050 10505561056100 21011122112200