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21210222001100 = 22521194912031611
BaseRepresentation
bin1001101001010011000111…
…01111110111101111001100
32210002200021211200002000112
410310221203233313233030
510240002013313013400
6113035501431415152
74316250034216256
oct464514357675714
983080254602015
1021210222001100
116838228408920
1224668245244b8
13bab1665773b2
1453481a1b6cd6
1526bad7182835
hex134a63bf7bcc

21210222001100 has 72 divisors (see below), whose sum is σ = 50215695114816. Its totient is φ = 7711991560000.

The previous prime is 21210222001093. The next prime is 21210222001127. The reversal of 21210222001100 is 110022201212.

It is a super-3 number, since 3×212102220011003 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9424295 + ... + 11455905.

It is an arithmetic number, because the mean of its divisors is an integer number (697440209928).

Almost surely, 221210222001100 is an apocalyptic number.

21210222001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210222001100 is an abundant number, since it is smaller than the sum of its proper divisors (29005473113716).

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

21210222001100 is a wasteful number, since it uses less digits than its factorization.

21210222001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041127 (or 2041120 counting only the distinct ones).

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

Adding to 21210222001100 its reverse (110022201212), we get a palindrome (21320244202312).

The spelling of 21210222001100 in words is "twenty-one trillion, two hundred ten billion, two hundred twenty-two million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 9491 18982 37964 47455 94910 104401 189820 208802 237275 417604 474550 522005 949100 1044010 2031611 2088020 2610025 4063222 5220050 8126444 10158055 10440100 20316110 22347721 40632220 44695442 50790275 89390884 101580550 111738605 203161100 223477210 446954420 558693025 1117386050 2234772100 19282020001 38564040002 77128080004 96410100005 192820200010 212102220011 385640400020 424204440022 482050500025 848408880044 964101000050 1060511100055 1928202000100 2121022200110 4242044400220 5302555500275 10605111000550 21210222001100