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21120200112020 = 225191091378936979
BaseRepresentation
bin1001100110101011011100…
…00001100111011110010100
32202210001221001121021201112
410303111232001213132110
510232013132212041040
6112530252550114152
74306612150615202
oct463255601473624
982701831537645
1021120200112020
1168030323a7189
1224512a034b958
13ba281b05cbc9
1453031a41c072
152695b8e30365
hex13356e067794

21120200112020 has 96 divisors (see below), whose sum is σ = 47119768080000. Its totient is φ = 7929228630528.

The previous prime is 21120200112019. The next prime is 21120200112029. The reversal of 21120200112020 is 2021100202112.

It is a junction number, because it is equal to n+sod(n) for n = 21120200111986 and 21120200112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120200112029) 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 31 ways as a sum of consecutive naturals, for example, 571121891 + ... + 571158869.

It is an arithmetic number, because the mean of its divisors is an integer number (490830917500).

Almost surely, 221120200112020 is an apocalyptic number.

21120200112020 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 21120200112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23559884040000).

21120200112020 is an abundant number, since it is smaller than the sum of its proper divisors (25999567967980).

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

21120200112020 is a wasteful number, since it uses less digits than its factorization.

21120200112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50905 (or 50903 counting only the distinct ones).

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

Adding to 21120200112020 its reverse (2021100202112), we get a palindrome (23141300314132).

The spelling of 21120200112020 in words is "twenty-one trillion, one hundred twenty billion, two hundred million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 109 190 218 380 436 545 1090 2071 2180 4142 8284 10355 13789 20710 27578 36979 41420 55156 68945 73958 137890 147916 184895 261991 275780 369790 523982 702601 739580 1047964 1309955 1405202 1503001 2619910 2810404 3006002 3513005 4030711 5239820 6012004 7026010 7515005 8061422 14052020 15030010 16122844 20153555 28557019 30060020 40307110 57114038 76583509 80614220 114228076 142785095 153167018 285570190 306334036 382917545 509903431 571140380 765835090 1019806862 1531670180 2039613724 2549517155 5099034310 9688165189 10198068620 19376330378 38752660756 48440825945 55579473979 96881651890 111158947958 193763303780 222317895916 277897369895 555794739790 1056010005601 1111589479580 2112020011202 4224040022404 5280050028005 10560100056010 21120200112020