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2120320332 = 22321353731171
BaseRepresentation
bin111111001100001…
…1000010101001100
312110202202102200200
41332120120111030
513320300222312
6550221453500
7103354265634
oct17630302514
95422672620
102120320332
11998958059
124b2111290
1327a384020
141618596c4
15c622d0dc
hex7e61854c

2120320332 has 144 divisors (see below), whose sum is σ = 5966539488. Its totient is φ = 630789120.

The previous prime is 2120320331. The next prime is 2120320373. The reversal of 2120320332 is 2330230212.

It is a happy number.

2120320332 is a `hidden beast` number, since 2 + 12 + 0 + 320 + 332 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2120320331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1810107 + ... + 1811277.

It is an arithmetic number, because the mean of its divisors is an integer number (41434302).

Almost surely, 22120320332 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 2120320332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983269744).

2120320332 is an abundant number, since it is smaller than the sum of its proper divisors (3846219156).

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

2120320332 is a wasteful number, since it uses less digits than its factorization.

2120320332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2120320332 is about 46046.9361847235. The cubic root of 2120320332 is about 1284.6963570684.

Adding to 2120320332 its reverse (2330230212), we get a palindrome (4450550544).

The spelling of 2120320332 in words is "two billion, one hundred twenty million, three hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 73 78 106 117 146 156 159 212 219 234 292 318 438 468 477 636 657 689 876 949 954 1171 1314 1378 1898 1908 2067 2342 2628 2756 2847 3513 3796 3869 4134 4684 5694 6201 7026 7738 8268 8541 10539 11388 11607 12402 14052 15223 15476 17082 21078 23214 24804 30446 34164 34821 42156 45669 46428 50297 60892 62063 69642 85483 91338 100594 124126 137007 139284 150891 170966 182676 186189 201188 248252 256449 274014 301782 341932 372378 452673 512898 548028 558567 603564 744756 769347 806819 905346 1025796 1111279 1117134 1538694 1613638 1810692 2222558 2234268 2420457 3077388 3227276 3333837 4445116 4530599 4840914 6667674 7261371 9061198 9681828 10001511 13335348 13591797 14522742 18122396 20003022 27183594 29045484 40006044 40775391 54367188 58897787 81550782 117795574 163101564 176693361 235591148 353386722 530080083 706773444 1060160166 2120320332