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21221201100 = 22352116430667
BaseRepresentation
bin10011110000111000…
…011101010011001100
32000202221102201020010
4103300320131103030
5321430111413400
613425431553220
71350611142651
oct236070352314
960687381203
1021221201100
118aaa8a6530
124142b2b810
1320026b3138
141054573c28
15843093450
hex4f0e1d4cc

21221201100 has 72 divisors (see below), whose sum is σ = 66981837888. Its totient is φ = 5144532800.

The previous prime is 21221201087. The next prime is 21221201117. The reversal of 21221201100 is 110212212.

It is a super-2 number, since 2×212212011002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3212034 + ... + 3218633.

It is an arithmetic number, because the mean of its divisors is an integer number (930303304).

Almost surely, 221221201100 is an apocalyptic number.

21221201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221201100 is an abundant number, since it is smaller than the sum of its proper divisors (45760636788).

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

21221201100 is a wasteful number, since it uses less digits than its factorization.

21221201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430695 (or 6430688 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21221201100 its reverse (110212212), we get a palindrome (21331413312).

The spelling of 21221201100 in words is "twenty-one billion, two hundred twenty-one million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6430667 12861334 19292001 25722668 32153335 38584002 64306670 70737337 77168004 96460005 128613340 141474674 160766675 192920010 212212011 282949348 321533350 353686685 385840020 424424022 482300025 643066700 707373370 848848044 964600050 1061060055 1414746740 1768433425 1929200100 2122120110 3536866850 4244240220 5305300275 7073733700 10610600550 21221201100