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21011343100 = 225211101379499
BaseRepresentation
bin10011100100010111…
…111010011011111100
32000020022112211011121
4103210113322123330
5321012400434400
613352534000324
71342452320026
oct234427723374
960208484147
1021011343100
118a023a0070
1240a47a60a4
131c9b086ac7
141034747016
1582e93d21a
hex4e45fa6fc

21011343100 has 144 divisors (see below), whose sum is σ = 50465520000. Its totient is φ = 7529760000.

The previous prime is 21011343083. The next prime is 21011343109. The reversal of 21011343100 is 134311012.

It is a super-2 number, since 2×210113431002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011343109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42106651 + ... + 42107149.

It is an arithmetic number, because the mean of its divisors is an integer number (350455000).

Almost surely, 221011343100 is an apocalyptic number.

21011343100 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 21011343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25232760000).

21011343100 is an abundant number, since it is smaller than the sum of its proper divisors (29454176900).

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

21011343100 is a wasteful number, since it uses less digits than its factorization.

21011343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21011343100 its reverse (134311012), we get a palindrome (21145654112).

The spelling of 21011343100 in words is "twenty-one billion, eleven million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 379 404 499 505 550 758 998 1010 1100 1111 1516 1895 1996 2020 2222 2495 2525 3790 4169 4444 4990 5050 5489 5555 7580 8338 9475 9980 10100 10978 11110 12475 16676 18950 20845 21956 22220 24950 27445 27775 37900 38279 41690 49900 50399 54890 55550 76558 83380 100798 104225 109780 111100 137225 153116 189121 191395 201596 208450 251995 274450 378242 382790 416900 421069 503990 548900 554389 756484 765580 842138 945605 956975 1007980 1108778 1259975 1684276 1891210 1913950 2080331 2105345 2217556 2519950 2771945 3782420 3827900 4160662 4210690 4728025 5039900 5543890 8321324 8421380 9456050 10401655 10526725 11087780 13859725 18912100 19101221 20803310 21053450 27719450 38202442 41606620 42106900 52008275 55438900 76404884 95506105 104016550 191012210 208033100 210113431 382024420 420226862 477530525 840453724 955061050 1050567155 1910122100 2101134310 4202268620 5252835775 10505671550 21011343100