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20021000202100 = 2252414883170781
BaseRepresentation
bin1001000110101100000001…
…00110101110011101110100
32121212222200221001022020201
410203112000212232131310
510111011002022431400
6110325304233210244
74134320022550612
oct443260046563564
977788627038221
1020021000202100
116419949738767
1222b4254560984
13b22c83c69821
144d30433046b2
1524abd382306a
hex1235809ae774

20021000202100 has 36 divisors (see below), whose sum is σ = 44505218507148. Its totient is φ = 7813073248000.

The previous prime is 20021000202043. The next prime is 20021000202101. The reversal of 20021000202100 is 120200012002.

It can be written as a sum of positive squares in 6 ways, for example, as 3860423321616 + 16160576880484 = 1964796^2 + 4020022^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021000202101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2441581291 + ... + 2441589490.

It is an arithmetic number, because the mean of its divisors is an integer number (1236256069643).

Almost surely, 220021000202100 is an apocalyptic number.

20021000202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021000202100 is an abundant number, since it is smaller than the sum of its proper divisors (24484218305048).

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

20021000202100 is a wasteful number, since it uses less digits than its factorization.

20021000202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4883170836 (or 4883170829 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20021000202100 its reverse (120200012002), we get a palindrome (20141200214102).

The spelling of 20021000202100 in words is "twenty trillion, twenty-one billion, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 4883170781 9766341562 19532683124 24415853905 48831707810 97663415620 122079269525 200210002021 244158539050 400420004042 488317078100 800840008084 1001050010105 2002100020210 4004200040420 5005250050525 10010500101050 20021000202100