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21001222201100 = 22522946499155741
BaseRepresentation
bin1001100011001101110100…
…11000111001111100001100
32202100200211021200011212012
410301212322120321330030
510223041000340413400
6112355454524400352
74265200602223301
oct461467230717414
982320737604765
1021001222201100
116767628482789
1224322169a60b8
13b94539847c9b
14528670b330a8
15266453a70d35
hex1319ba639f0c

21001222201100 has 72 divisors (see below), whose sum is σ = 47145439530000. Its totient is φ = 8110590342400.

The previous prime is 21001222201033. The next prime is 21001222201109. The reversal of 21001222201100 is 110222210012.

It is not an unprimeable number, because it can be changed into a prime (21001222201109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134769230 + ... + 134924970.

It is an arithmetic number, because the mean of its divisors is an integer number (654797771250).

Almost surely, 221001222201100 is an apocalyptic number.

21001222201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001222201100 is an abundant number, since it is smaller than the sum of its proper divisors (26144217328900).

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

21001222201100 is a wasteful number, since it uses less digits than its factorization.

21001222201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202283 (or 202276 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21001222201100 its reverse (110222210012), we get a palindrome (21111444411112).

The spelling of 21001222201100 in words is "twenty-one trillion, one billion, two hundred twenty-two million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 46499 92998 155741 185996 232495 311482 464990 622964 778705 929980 1162475 1348471 1557410 2324950 2696942 3114820 3893525 4516489 4649900 5393884 6742355 7787050 9032978 13484710 15574100 18065956 22582445 26969420 33711775 45164890 67423550 90329780 112912225 134847100 225824450 451648900 7241800759 14483601518 28967203036 36209003795 72418007590 144836015180 181045018975 210012222011 362090037950 420024444022 724180075900 840048888044 1050061110055 2100122220110 4200244440220 5250305550275 10500611100550 21001222201100