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2121203340 = 2232537734363
BaseRepresentation
bin111111001101110…
…1111111010001100
312110211102021221200
41332123233322030
513321012001330
6550252425500
7103364634204
oct17633577214
95424367850
102121203340
11999400513
124b2478290
1327a602c09
14161a09404
15c6354a60
hex7e6efe8c

2121203340 has 144 divisors (see below), whose sum is σ = 6700276128. Its totient is φ = 542702592.

The previous prime is 2121203333. The next prime is 2121203353. The reversal of 2121203340 is 433021212.

2121203340 is a `hidden beast` number, since 2 + 121 + 203 + 340 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483999 + ... + 488361.

Almost surely, 22121203340 is an apocalyptic number.

2121203340 is a gapful number since it is divisible by the number (20) 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 2121203340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350138064).

2121203340 is an abundant number, since it is smaller than the sum of its proper divisors (4579072788).

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

2121203340 is a wasteful number, since it uses less digits than its factorization.

2121203340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2121203340 is about 46056.5233164641. The cubic root of 2121203340 is about 1284.8746697046.

Adding to 2121203340 its reverse (433021212), we get a palindrome (2554224552).

The spelling of 2121203340 in words is "two billion, one hundred twenty-one million, two hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 73 74 90 111 146 148 180 185 219 222 292 333 365 370 438 444 555 657 666 730 740 876 1095 1110 1314 1332 1460 1665 2190 2220 2628 2701 3285 3330 4363 4380 5402 6570 6660 8103 8726 10804 13089 13140 13505 16206 17452 21815 24309 26178 27010 32412 39267 40515 43630 48618 52356 54020 65445 78534 81030 87260 97236 121545 130890 157068 161431 162060 196335 243090 261780 318499 322862 392670 484293 486180 636998 645724 785340 807155 955497 968586 1273996 1452879 1592495 1614310 1910994 1937172 2421465 2866491 2905758 3184990 3228620 3821988 4777485 4842930 5732982 5811516 6369980 7264395 9554970 9685860 11465964 11784463 14332455 14528790 19109940 23568926 28664910 29057580 35353389 47137852 57329820 58922315 70706778 106060167 117844630 141413556 176766945 212120334 235689260 353533890 424240668 530300835 707067780 1060601670 2121203340