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2101200984 = 2332592272179
BaseRepresentation
bin111110100111101…
…1100100001011000
312102102210001212200
41331033130201120
513300401412414
6544300010200
7103032625251
oct17517344130
95372701780
102101200984
11989089443
124a7830960
1327641b6bc
1415d0bdb28
15c4703109
hex7d3dc858

2101200984 has 96 divisors (see below), whose sum is σ = 5815368000. Its totient is φ = 685181376.

The previous prime is 2101200979. The next prime is 2101200991. The reversal of 2101200984 is 4890021012.

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, 963207 + ... + 965385.

It is an arithmetic number, because the mean of its divisors is an integer number (60576750).

Almost surely, 22101200984 is an apocalyptic number.

2101200984 is a gapful number since it is divisible by the number (24) 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 2101200984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907684000).

2101200984 is an abundant number, since it is smaller than the sum of its proper divisors (3714167016).

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

2101200984 is a wasteful number, since it uses less digits than its factorization.

2101200984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2101200984 is about 45838.8588863205. The cubic root of 2101200984 is about 1280.8232383203.

Adding to 2101200984 its reverse (4890021012), we get a palindrome (6991221996).

The spelling of 2101200984 in words is "two billion, one hundred one million, two hundred thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 227 236 354 454 472 531 681 708 908 1062 1362 1416 1816 2043 2124 2179 2724 4086 4248 4358 5448 6537 8172 8716 13074 13393 16344 17432 19611 26148 26786 39222 40179 52296 53572 78444 80358 107144 120537 128561 156888 160716 241074 257122 321432 385683 482148 494633 514244 771366 964296 989266 1028488 1157049 1483899 1542732 1978532 2314098 2967798 3085464 3957064 4451697 4628196 5935596 8903394 9256392 11871192 17806788 29183347 35613576 58366694 87550041 116733388 175100082 233466776 262650123 350200164 525300246 700400328 1050600492 2101200984