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21203322312100 = 22523117413928651
BaseRepresentation
bin1001101001000110010000…
…11111101001010110100100
32210002000110222200120001111
410310203020133221112210
510234343401002441400
6113032401035234404
74315614043636015
oct464431037512644
983060428616044
1021203322312100
116835307748405
1224654198a8a04
13baa606c93696
14534363acd00c
1526b8315803ba
hex1348c87e95a4

21203322312100 has 72 divisors (see below), whose sum is σ = 47522734628096. Its totient is φ = 8203021200000.

The previous prime is 21203322312091. The next prime is 21203322312103. The reversal of 21203322312100 is 121322330212.

It is not an unprimeable number, because it can be changed into a prime (21203322312103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3432775 + ... + 7361425.

Almost surely, 221203322312100 is an apocalyptic number.

21203322312100 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 21203322312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23761367314048).

21203322312100 is an abundant number, since it is smaller than the sum of its proper divisors (26319412315996).

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

21203322312100 is a wasteful number, since it uses less digits than its factorization.

21203322312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930437 (or 3930430 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 21203322312100 its reverse (121322330212), we get a palindrome (21324644642312).

The spelling of 21203322312100 in words is "twenty-one trillion, two hundred three billion, three hundred twenty-two million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 1741 3100 3482 6964 8705 17410 34820 43525 53971 87050 107942 174100 215884 269855 539710 1079420 1349275 2698550 3928651 5397100 7857302 15714604 19643255 39286510 78573020 98216275 121788181 196432550 243576362 392865100 487152724 608940905 1217881810 2435763620 3044704525 6089409050 6839781391 12178818100 13679562782 27359125564 34198906955 68397813910 136795627820 170994534775 212033223121 341989069550 424066446242 683978139100 848132892484 1060166115605 2120332231210 4240664462420 5300830578025 10601661156050 21203322312100