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21141223000 = 2353532391669
BaseRepresentation
bin10011101100000111…
…010111011001011000
32000120100221101220021
4103230013113121120
5321244123114000
613413453440224
71345620300442
oct235407273130
960510841807
1021141223000
118a6973a827
1241201a0074
131cbbc5ca11
141047ab5492
1583b04611a
hex4ec1d7658

21141223000 has 128 divisors (see below), whose sum is σ = 50645088000. Its totient is φ = 8257267200.

The previous prime is 21141222953. The next prime is 21141223043. The reversal of 21141223000 is 32214112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12666166 + ... + 12667834.

It is an arithmetic number, because the mean of its divisors is an integer number (395664750).

Almost surely, 221141223000 is an apocalyptic number.

21141223000 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 21141223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25322544000).

21141223000 is an abundant number, since it is smaller than the sum of its proper divisors (29503865000).

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

21141223000 is a wasteful number, since it uses less digits than its factorization.

21141223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21141223000 its reverse (32214112), we get a palindrome (21173437112).

The spelling of 21141223000 in words is "twenty-one billion, one hundred forty-one million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 239 250 265 424 478 500 530 956 1000 1060 1195 1325 1669 1912 2120 2390 2650 3338 4780 5300 5975 6625 6676 8345 9560 10600 11950 12667 13250 13352 16690 23900 25334 26500 29875 33380 41725 47800 50668 53000 59750 63335 66760 83450 88457 101336 119500 126670 166900 176914 208625 239000 253340 316675 333800 353828 398891 417250 442285 506680 633350 707656 797782 834500 884570 1266700 1583375 1595564 1669000 1769140 1994455 2211425 2533400 3166750 3191128 3538280 3988910 4422850 6333500 7977820 8845700 9972275 11057125 12667000 15955640 17691400 19944550 21141223 22114250 39889100 42282446 44228500 49861375 79778200 84564892 88457000 99722750 105706115 169129784 199445500 211412230 398891000 422824460 528530575 845648920 1057061150 2114122300 2642652875 4228244600 5285305750 10570611500 21141223000