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21312032320100 = 22522836703112349
BaseRepresentation
bin1001101100010000110000…
…00111011010101001100100
32210110102002011202011002002
410312020120013122221210
510243134020233220400
6113154340144104432
74326513012520604
oct466103007325144
983412064664062
1021312032320100
116877422706425
1224824b8605118
13bb794014a9c2
14539717838c04
1526e5952b2ed5
hex1362181daa64

21312032320100 has 72 divisors (see below), whose sum is σ = 46417864483200. Its totient is φ = 8493347018880.

The previous prime is 21312032320069. The next prime is 21312032320109. The reversal of 21312032320100 is 102323021312.

It is a super-2 number, since 2×213120323201002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21312032320109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189638726 + ... + 189751074.

Almost surely, 221312032320100 is an apocalyptic number.

21312032320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312032320100 is an abundant number, since it is smaller than the sum of its proper divisors (25105832163100).

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

21312032320100 is a wasteful number, since it uses less digits than its factorization.

21312032320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119349 (or 119342 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21312032320100 its reverse (102323021312), we get a palindrome (21414355341412).

The spelling of 21312032320100 in words is "twenty-one trillion, three hundred twelve billion, thirty-two million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 283 566 1132 1415 2830 5660 6703 7075 13406 14150 26812 28300 33515 67030 112349 134060 167575 224698 335150 449396 561745 670300 1123490 1896949 2246980 2808725 3793898 5617450 7587796 9484745 11234900 18969490 31794767 37938980 47423725 63589534 94847450 127179068 158973835 189694900 317947670 635895340 753075347 794869175 1506150694 1589738350 3012301388 3179476700 3765376735 7530753470 15061506940 18826883675 37653767350 75307534700 213120323201 426240646402 852481292804 1065601616005 2131203232010 4262406464020 5328008080025 10656016160050 21312032320100