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2021131336 = 237291577927
BaseRepresentation
bin111100001111000…
…0000010001001000
312012212010002222011
41320132000101020
513114402200321
6532315505304
7101041222120
oct17036002110
95185102864
102021131336
1194796a984
12484a58234
13262965703
141525d9c80
15bc688ae1
hex78780448

2021131336 has 64 divisors (see below), whose sum is σ = 4509446400. Its totient is φ = 830898432.

The previous prime is 2021131303. The next prime is 2021131337. The reversal of 2021131336 is 6331311202.

It is a super-2 number, since 2×20211313362 = 8169943754722289792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2021131337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251005 + ... + 258931.

It is an arithmetic number, because the mean of its divisors is an integer number (70460100).

Almost surely, 22021131336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021131336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254723200).

2021131336 is an abundant number, since it is smaller than the sum of its proper divisors (2488315064).

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

2021131336 is a wasteful number, since it uses less digits than its factorization.

2021131336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8126 (or 8122 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 2021131336 is about 44956.9942945478. The cubic root of 2021131336 is about 1264.3428158035.

Adding to 2021131336 its reverse (6331311202), we get a palindrome (8352442538).

The spelling of 2021131336 in words is "two billion, twenty-one million, one hundred thirty-one thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 157 203 232 314 406 628 812 1099 1256 1624 2198 4396 4553 7927 8792 9106 15854 18212 31708 31871 36424 55489 63416 63742 110978 127484 221956 229883 254968 443912 459766 919532 1244539 1609181 1839064 2489078 3218362 4978156 6436724 8711773 9956312 12873448 17423546 34847092 36091631 69694184 72183262 144366524 252641417 288733048 505282834 1010565668 2021131336