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2126336212 = 22711134711299
BaseRepresentation
bin111111010111101…
…0101000011010100
312111012002001221001
41332233111003110
513323320224322
6550554433044
7103456362640
oct17657250324
95435061831
102126336212
119a1296960
124b4132784
1327b6ac310
14162583c20
15c6a1a827
hex7ebd50d4

2126336212 has 96 divisors (see below), whose sum is σ = 5102899200. Its totient is φ = 748379520.

The previous prime is 2126336161. The next prime is 2126336243.

2126336212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182539 + ... + 193837.

It is an arithmetic number, because the mean of its divisors is an integer number (53155200).

Almost surely, 22126336212 is an apocalyptic number.

2126336212 is a gapful number since it is divisible by the number (22) 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 2126336212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551449600).

2126336212 is an abundant number, since it is smaller than the sum of its proper divisors (2976562988).

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

2126336212 is a wasteful number, since it uses less digits than its factorization.

2126336212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11381 (or 11379 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 2126336212 is about 46112.2132628656. The cubic root of 2126336212 is about 1285.9102115976.

It can be divided in two parts, 21263 and 36212, that added together give a palindrome (57475).

The spelling of 2126336212 in words is "two billion, one hundred twenty-six million, three hundred thirty-six thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 47 52 77 91 94 143 154 182 188 286 308 329 364 517 572 611 658 1001 1034 1222 1316 2002 2068 2444 3619 4004 4277 6721 7238 8554 11299 13442 14476 17108 22598 26884 45196 47047 79093 94094 124289 146887 158186 188188 248578 293774 316372 497156 531053 587548 870023 1028209 1062106 1615757 1740046 2056418 2124212 3231514 3480092 3717371 4112836 5841583 6463028 6903689 7434742 11310299 11683166 13807378 14869484 22620598 23366332 27614756 40891081 45241196 48325823 75940579 81782162 96651646 151881158 163564324 193303292 303762316 531584053 1063168106 2126336212