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202100020020 = 223251122777889
BaseRepresentation
bin1011110000111000011…
…0011001001100110100
3201022122200211202101200
42330032012121030310
511302400101120040
6232502104452500
720413140553233
oct2741606311464
9638580752350
10202100020020
117878a213338
1233202a7a130
131609a416182
149ad2d74b1a
1553cc9e2630
hex2f0e199334

202100020020 has 36 divisors (see below), whose sum is σ = 613036727940. Its totient is φ = 53893338624.

The previous prime is 202100020019. The next prime is 202100020027. The reversal of 202100020020 is 20020001202.

It can be written as a sum of positive squares in 2 ways, for example, as 100643755536 + 101456264484 = 317244^2 + 318522^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 202100019984 and 202100020011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100020027) 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, 561388765 + ... + 561389124.

Almost surely, 2202100020020 is an apocalyptic number.

202100020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100020020 is an abundant number, since it is smaller than the sum of its proper divisors (410936707920).

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

202100020020 is a wasteful number, since it uses less digits than its factorization.

202100020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122777904 (or 1122777899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 202100020020 its reverse (20020001202), we get a palindrome (222120021222).

The spelling of 202100020020 in words is "two hundred two billion, one hundred million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1122777889 2245555778 3368333667 4491111556 5613889445 6736667334 10105001001 11227778890 13473334668 16841668335 20210002002 22455557780 33683336670 40420004004 50525005005 67366673340 101050010010 202100020020