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21224510213000 = 23531123170911059
BaseRepresentation
bin1001101001101101101110…
…11001000100101110001000
32210011001011121110102222212
410310312313121010232020
510240220244103304000
6113050223321404252
74320264102056603
oct464666731045610
983131147412885
1021224510213000
11684329a769a06
122469551639688
13bac6027b7653
145353b3a7533a
1526c171746c35
hex134db7644b88

21224510213000 has 128 divisors (see below), whose sum is σ = 49743164016000. Its totient is φ = 8476514323200.

The previous prime is 21224510212999. The next prime is 21224510213003. The reversal of 21224510213000 is 31201542212.

It is a super-3 number, since 3×212245102130003 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21224510213003) 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, 1919201471 + ... + 1919212529.

It is an arithmetic number, because the mean of its divisors is an integer number (388618468875).

Almost surely, 221224510213000 is an apocalyptic number.

21224510213000 is a gapful number since it is divisible by the number (20) 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 21224510213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24871582008000).

21224510213000 is an abundant number, since it is smaller than the sum of its proper divisors (28518653803000).

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

21224510213000 is a wasteful number, since it uses less digits than its factorization.

21224510213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13912 (or 13898 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 21224510213000 its reverse (31201542212), we get a palindrome (21255711755212).

The spelling of 21224510213000 in words is "twenty-one trillion, two hundred twenty-four billion, five hundred ten million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1123 1709 2246 3418 4492 5615 6836 8545 8984 11059 11230 13672 17090 22118 22460 28075 34180 42725 44236 44920 55295 56150 68360 85450 88472 110590 112300 140375 170900 213625 221180 224600 276475 280750 341800 427250 442360 552950 561500 854500 1105900 1123000 1382375 1709000 1919207 2211800 2764750 3838414 5529500 7676828 9596035 11059000 12419257 15353656 18899831 19192070 24838514 37799662 38384140 47980175 49677028 62096285 75599324 76768280 94499155 95960350 99354056 124192570 151198648 188998310 191920700 239900875 248385140 310481425 377996620 383841400 472495775 479801750 496770280 620962850 755993240 944991550 959603500 1241925700 1552407125 1889983100 1919207000 2362478875 2483851400 3104814250 3779966200 4724957750 6209628500 9449915500 12419257000 18899831000 21224510213 42449020426 84898040852 106122551065 169796081704 212245102130 424490204260 530612755325 848980408520 1061225510650 2122451021300 2653063776625 4244902042600 5306127553250 10612255106500 21224510213000