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2021222112021 = 337193118156701
BaseRepresentation
bin11101011010011010001…
…110011101101100010101
321011020010102222211202000
4131122122032131230111
5231103430330041041
64144311524305513
7266012524323540
oct35323216355425
97136112884660
102021222112021
1170a217209742
12287887242299
131187a61a5cc8
146db831bd857
153789b1a0bb6
hex1d69a39db15

2021222112021 has 64 divisors (see below), whose sum is σ = 3718492569600. Its totient is φ = 1058898744000.

The previous prime is 2021222111977. The next prime is 2021222112031. The reversal of 2021222112021 is 1202112221202.

It is a happy number.

It is not a de Polignac number, because 2021222112021 - 29 = 2021222111509 is a prime.

It is a super-2 number, since 2×20212221120212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2021222111985 and 2021222112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021222112031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8967030 + ... + 9189671.

It is an arithmetic number, because the mean of its divisors is an integer number (58101446400).

Almost surely, 22021222112021 is an apocalyptic number.

2021222112021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2021222112021 is a deficient number, since it is larger than the sum of its proper divisors (1697270457579).

2021222112021 is a wasteful number, since it uses less digits than its factorization.

2021222112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18156767 (or 18156761 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2021222112021 its reverse (1202112221202), we get a palindrome (3223334333223).

The spelling of 2021222112021 in words is "two trillion, twenty-one billion, two hundred twenty-two million, one hundred twelve thousand, twenty-one".

Divisors: 1 3 7 9 19 21 27 31 57 63 93 133 171 189 217 279 399 513 589 651 837 1197 1767 1953 3591 4123 5301 5859 12369 15903 37107 111321 18156701 54470103 127096907 163410309 344977319 381290721 490230927 562857731 1034931957 1143872163 1688573193 2414841233 3104795871 3431616489 3940004117 5065719579 7244523699 9314387613 10694296889 11820012351 15197158737 21733571097 32082890667 35460037053 65200713291 74860078223 96248672001 106380111159 224580234669 288746016003 673740704007 2021222112021