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21143341100 = 22527239191429
BaseRepresentation
bin10011101100001111…
…011100100000101100
32000120111221000101102
4103230033130200230
5321300143403400
613414011102232
71345644301610
oct235417344054
960514830342
1021143341100
118a6a957122
124120a41978
131cbc521b2b
1410480a7340
1583b3139d5
hex4ec3dc82c

21143341100 has 144 divisors (see below), whose sum is σ = 54813158400. Its totient is φ = 6921573120.

The previous prime is 21143341097. The next prime is 21143341103. The reversal of 21143341100 is 114334112.

It is an interprime number because it is at equal distance from previous prime (21143341097) and next prime (21143341103).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21143341103) 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 47 ways as a sum of consecutive naturals, for example, 14795186 + ... + 14796614.

Almost surely, 221143341100 is an apocalyptic number.

21143341100 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 21143341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27406579200).

21143341100 is an abundant number, since it is smaller than the sum of its proper divisors (33669817300).

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

21143341100 is a wasteful number, since it uses less digits than its factorization.

21143341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21143341100 its reverse (114334112), we get a palindrome (21257675212).

The spelling of 21143341100 in words is "twenty-one billion, one hundred forty-three million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 919 1150 1429 1610 1838 2300 2858 3220 3676 4025 4595 5716 6433 7145 8050 9190 10003 12866 14290 16100 18380 20006 21137 22975 25732 28580 32165 32867 35725 40012 42274 45950 50015 64330 65734 71450 84548 91900 100030 105685 128660 131468 142900 147959 160825 164335 200060 211370 230069 250075 295918 321650 328670 422740 460138 500150 528425 591836 643300 657340 739795 821675 920276 1000300 1056850 1150345 1313251 1479590 1643350 2113700 2300690 2626502 2959180 3286700 3698975 4601380 5253004 5751725 6566255 7397950 9192757 11503450 13132510 14795900 18385514 23006900 26265020 30204773 32831275 36771028 45963785 60409546 65662550 91927570 120819092 131325100 151023865 183855140 211433411 229818925 302047730 422866822 459637850 604095460 755119325 845733644 919275700 1057167055 1510238650 2114334110 3020477300 4228668220 5285835275 10571670550 21143341100