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2021201110020 = 223513921743527
BaseRepresentation
bin11101011010011000111…
…110010110010000000100
321011020001222110211102010
4131122120332112100010
5231103404441010040
64144305454214220
7266012150652321
oct35323076262004
97136058424363
102021201110020
1170a206374614
122878801b4370
131187a1a317a1
146db804b3b48
1537899402e80
hex1d698f96404

2021201110020 has 72 divisors (see below), whose sum is σ = 5700374132544. Its totient is φ = 535109051712.

The previous prime is 2021201110007. The next prime is 2021201110037. The reversal of 2021201110020 is 200111021202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2021201109978 and 2021201110005.

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 23 ways as a sum of consecutive naturals, for example, 287497 + ... + 2031023.

It is an arithmetic number, because the mean of its divisors is an integer number (79171862952).

Almost surely, 22021201110020 is an apocalyptic number.

2021201110020 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 2021201110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850187066272).

2021201110020 is an abundant number, since it is smaller than the sum of its proper divisors (3679173022524).

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

2021201110020 is a wasteful number, since it uses less digits than its factorization.

2021201110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743817 (or 1743676 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2021201110020 its reverse (200111021202), we get a palindrome (2221312131222).

The spelling of 2021201110020 in words is "two trillion, twenty-one billion, two hundred one million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 8340 19321 38642 57963 77284 96605 115926 193210 231852 289815 386420 579630 1159260 1743527 3487054 5230581 6974108 8717635 10461162 17435270 20922324 26152905 34870540 52305810 104611620 242350253 484700506 727050759 969401012 1211751265 1454101518 2423502530 2908203036 3635253795 4847005060 7270507590 14541015180 33686685167 67373370334 101060055501 134746740668 168433425835 202120111002 336866851670 404240222004 505300277505 673733703340 1010600555010 2021201110020