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2021120200240 = 245412851216133
BaseRepresentation
bin11101011010010100001…
…001101100111000110000
321011012212100020012001121
4131122110021230320300
5231103223232401430
64144253444112024
7266010146146621
oct35322411547060
97135770205047
102021120200240
1170a174731929
12287859095614
1311878b04328b
146db73851a48
153789226ea7a
hex1d69426ce30

2021120200240 has 80 divisors (see below), whose sum is σ = 4815427480416. Its totient is φ = 788449536000.

The previous prime is 2021120200219. The next prime is 2021120200241. The reversal of 2021120200240 is 420020211202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2021120200241) by changing a digit.

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, 9243214 + ... + 9459346.

Almost surely, 22021120200240 is an apocalyptic number.

2021120200240 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 2021120200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407713740208).

2021120200240 is an abundant number, since it is smaller than the sum of its proper divisors (2794307280176).

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

2021120200240 is a wasteful number, since it uses less digits than its factorization.

2021120200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219038 (or 219032 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2021120200240 its reverse (420020211202), we get a palindrome (2441140411442).

The spelling of 2021120200240 in words is "two trillion, twenty-one billion, one hundred twenty million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 2851 3280 5702 11404 14255 22808 28510 45616 57020 114040 116891 216133 228080 233782 432266 467564 584455 864532 935128 1080665 1168910 1729064 1870256 2161330 2337820 3458128 4322660 4675640 8645320 8861453 9351280 17290640 17722906 35445812 44307265 70891624 88614530 141783248 177229060 354458120 616195183 708916240 1232390366 2464780732 3080975915 4929561464 6161951830 9859122928 12323903660 24647807320 25264002503 49295614640 50528005006 101056010012 126320012515 202112020024 252640025030 404224040048 505280050060 1010560100120 2021120200240