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21303223100 = 22522919873697
BaseRepresentation
bin10011110101110001…
…010110001100111100
32000222122202212020222
4103311301112030330
5322112111114400
613441522000512
71352625260105
oct236561261474
960878685228
1021303223100
119042128905
1241664a6138
1320166a0973
1410614053ac
1584a396185
hex4f5c5633c

21303223100 has 72 divisors (see below), whose sum is σ = 47859072240. Its totient is φ = 8221086720.

The previous prime is 21303223091. The next prime is 21303223121. The reversal of 21303223100 is 132230312.

It is a super-2 number, since 2×213032231002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5760452 + ... + 5764148.

Almost surely, 221303223100 is an apocalyptic number.

21303223100 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 21303223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23929536120).

21303223100 is an abundant number, since it is smaller than the sum of its proper divisors (26555849140).

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

21303223100 is a wasteful number, since it uses less digits than its factorization.

21303223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 21303223100 its reverse (132230312), we get a palindrome (21435453412).

The spelling of 21303223100 in words is "twenty-one billion, three hundred three million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 1987 2900 3697 3974 7394 7948 9935 14788 18485 19870 36970 39740 49675 57623 73940 92425 99350 107213 115246 184850 198700 214426 230492 288115 369700 428852 536065 576230 1072130 1152460 1440575 2144260 2680325 2881150 5360650 5762300 7345939 10721300 14691878 29383756 36729695 73459390 146918780 183648475 213032231 367296950 426064462 734593900 852128924 1065161155 2130322310 4260644620 5325805775 10651611550 21303223100