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2131203312 = 2435778307
BaseRepresentation
bin111111100000111…
…1001010011110000
312111112020100100000
41333001321103300
513331042001222
6551251030000
7103545633510
oct17701712360
95445210300
102131203312
119a4010657
124b589b300
1327c6c4764
1416308d840
15c717c9ac
hex7f0794f0

2131203312 has 120 divisors (see below), whose sum is σ = 7069019776. Its totient is φ = 608907456.

The previous prime is 2131203307. The next prime is 2131203337. The reversal of 2131203312 is 2133021312.

2131203312 is a `hidden beast` number, since 21 + 312 + 0 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11938 + ... + 66369.

Almost surely, 22131203312 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 2131203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534509888).

2131203312 is an abundant number, since it is smaller than the sum of its proper divisors (4937816464).

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

2131203312 is an equidigital number, since it uses as much as digits as its factorization.

2131203312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78337 (or 78319 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2131203312 is about 46164.9576193892. The cubic root of 2131203312 is about 1286.8905965979.

Adding to 2131203312 its reverse (2133021312), we get a palindrome (4264224624).

The spelling of 2131203312 in words is "two billion, one hundred thirty-one million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 6804 9072 13608 27216 78307 156614 234921 313228 469842 548149 626456 704763 939684 1096298 1252912 1409526 1644447 1879368 2114289 2192596 2819052 3288894 3758736 4228578 4385192 4933341 5638104 6342867 6577788 8457156 8770384 9866682 11276208 12685734 13155576 14800023 16914312 19028601 19733364 25371468 26311152 29600046 33828624 38057202 39466728 44400069 50742936 59200092 76114404 78933456 88800138 101485872 118400184 133200207 152228808 177600276 236800368 266400414 304457616 355200552 532800828 710401104 1065601656 2131203312