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21200332012220 = 22517163738090359
BaseRepresentation
bin1001101001000000101100…
…10000100011101010111100
32210001201202120220120210002
410310200112100203222330
510234321234443342340
6113031144214533432
74315446663543404
oct464402620435274
983051676816702
1021200332012220
116834012802899
122464924367278
13baa24b5c737a
1453415c8cd804
1526b708ca5715
hex134816423abc

21200332012220 has 48 divisors (see below), whose sum is σ = 47168359318080. Its totient is φ = 7976425688064.

The previous prime is 21200332012217. The next prime is 21200332012259. The reversal of 21200332012220 is 2221023300212.

It is a happy number.

It is a super-2 number, since 2×212003320122202 (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 a junction number, because it is equal to n+sod(n) for n = 21200332012192 and 21200332012201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18488600 + ... + 19601759.

It is an arithmetic number, because the mean of its divisors is an integer number (982674152460).

Almost surely, 221200332012220 is an apocalyptic number.

21200332012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200332012220 is an abundant number, since it is smaller than the sum of its proper divisors (25968027305860).

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

21200332012220 is a wasteful number, since it uses less digits than its factorization.

21200332012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38092022 (or 38092020 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21200332012220 its reverse (2221023300212), we get a palindrome (23421355312432).

The spelling of 21200332012220 in words is "twenty-one trillion, two hundred billion, three hundred thirty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1637 3274 6548 8185 16370 27829 32740 55658 111316 139145 278290 556580 38090359 76180718 152361436 190451795 380903590 647536103 761807180 1295072206 2590144412 3237680515 6475361030 12950722060 62353917683 124707835366 249415670732 311769588415 623539176830 1060016600611 1247078353660 2120033201222 4240066402444 5300083003055 10600166006110 21200332012220