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2021120311131 = 32678951717283
BaseRepresentation
bin11101011010010100001…
…010000111111101011011
321011012212100102211011200
4131122110022013331123
5231103223244424011
64144253450325243
7266010150121125
oct35322412077533
97135770384150
102021120311131
1170a1747a8179
12287859129823
1311878b0818ac
146db73880215
1537892292856
hex1d694287f5b

2021120311131 has 48 divisors (see below), whose sum is σ = 2997251786880. Its totient is φ = 1311955413120.

The previous prime is 2021120311103. The next prime is 2021120311141. The reversal of 2021120311131 is 1311130211202.

2021120311131 is a `hidden beast` number, since 202 + 1 + 1 + 20 + 311 + 131 = 666.

It is not a de Polignac number, because 2021120311131 - 217 = 2021120180059 is a prime.

It is a super-2 number, since 2×20211203111312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2021120311141) 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 47 ways as a sum of consecutive naturals, for example, 277508416 + ... + 277515698.

It is an arithmetic number, because the mean of its divisors is an integer number (62442745560).

Almost surely, 22021120311131 is an apocalyptic number.

2021120311131 is a deficient number, since it is larger than the sum of its proper divisors (976131475749).

2021120311131 is a wasteful number, since it uses less digits than its factorization.

2021120311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12616 (or 12613 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2021120311131 its reverse (1311130211202), we get a palindrome (3332250522333).

The spelling of 2021120311131 in words is "two trillion, twenty-one billion, one hundred twenty million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 9 67 89 201 267 603 801 5171 5963 7283 15513 17889 21849 46539 53667 65547 346457 460219 487961 648187 1039371 1380657 1463883 1944561 3118113 4141971 4391649 5833683 30834673 37660393 43428529 92504019 112981179 130285587 277512057 338943537 390856761 2523246331 3351774977 7569738993 10055324931 22709216979 30165974793 224568923459 673706770377 2021120311131