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21103022100 = 223522310692861
BaseRepresentation
bin10011101001110101…
…101001000000010100
32000110201001121010010
4103221311221000110
5321204333201400
613410011000220
71344644504526
oct235165510024
960421047103
1021103022100
118a4a118936
12410b439070
131cb4076034
1410429ada16
158379ec450
hex4e9d69014

21103022100 has 144 divisors (see below), whose sum is σ = 63794666880. Its totient is φ = 5375884800.

The previous prime is 21103022089. The next prime is 21103022107. The reversal of 21103022100 is 122030112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21103022107) 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, 7374670 + ... + 7377530.

It is an arithmetic number, because the mean of its divisors is an integer number (443018520).

Almost surely, 221103022100 is an apocalyptic number.

21103022100 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 21103022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31897333440).

21103022100 is an abundant number, since it is smaller than the sum of its proper divisors (42691644780).

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

21103022100 is a wasteful number, since it uses less digits than its factorization.

21103022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21103022100 its reverse (122030112), we get a palindrome (21225052212).

The spelling of 21103022100 in words is "twenty-one billion, one hundred three million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1069 1150 1380 1725 2138 2300 2861 3207 3450 4276 5345 5722 6414 6900 8583 10690 11444 12828 14305 16035 17166 21380 24587 26725 28610 32070 34332 42915 49174 53450 57220 64140 65803 71525 73761 80175 85830 98348 106900 122935 131606 143050 147522 160350 171660 197409 214575 245870 263212 286100 295044 320700 329015 368805 394818 429150 491740 614675 658030 737610 789636 858300 987045 1229350 1316060 1475220 1645075 1844025 1974090 2458700 3058409 3290150 3688050 3948180 4935225 6116818 6580300 7376100 9175227 9870450 12233636 15292045 18350454 19740900 30584090 36700908 45876135 61168180 70343407 76460225 91752270 140686814 152920450 183504540 211030221 229380675 281373628 305840900 351717035 422060442 458761350 703434070 844120884 917522700 1055151105 1406868140 1758585175 2110302210 3517170350 4220604420 5275755525 7034340700 10551511050 21103022100