Search a number
-
+
10001211200992 = 2511411275456603
BaseRepresentation
bin1001000110001001011010…
…1001000001010111100000
31022102002212121022122020101
42101202112221001113200
52302324440031412432
633134254253152144
72051364223363444
oct221422651012740
938362777278211
1010001211200992
113206542aa0280
12115637548b654
135771580720bb
142680bdd36824
1512524b4424e7
hex91896a415e0

10001211200992 has 96 divisors (see below), whose sum is σ = 22177035546624. Its totient is φ = 4400203852800.

The previous prime is 10001211200989. The next prime is 10001211201001. The reversal of 10001211200992 is 29900211210001.

It is a self number, because there is not a number n which added to its sum of digits gives 10001211200992.

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 15 ways as a sum of consecutive naturals, for example, 895438 + ... + 4561165.

It is an arithmetic number, because the mean of its divisors is an integer number (231010786944).

Almost surely, 210001211200992 is an apocalyptic number.

It is an amenable number.

10001211200992 is an abundant number, since it is smaller than the sum of its proper divisors (12175824345632).

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

10001211200992 is a wasteful number, since it uses less digits than its factorization.

10001211200992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5456792 (or 5456784 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

Adding to 10001211200992 its reverse (29900211210001), we get a palindrome (39901422410993).

The spelling of 10001211200992 in words is "ten trillion, one billion, two hundred eleven million, two hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 127 164 176 254 328 352 451 508 656 902 1016 1312 1397 1804 2032 2794 3608 4064 5207 5588 7216 10414 11176 14432 20828 22352 41656 44704 57277 83312 114554 166624 229108 458216 916432 1832864 5456603 10913206 21826412 43652824 60022633 87305648 120045266 174611296 223720723 240090532 447441446 480181064 692988581 894882892 960362128 1385977162 1789765784 1920724256 2460927953 2771954324 3579531568 4921855906 5543908648 7159063136 7622874391 9843711812 11087817296 15245748782 19687423624 22175634592 28412531821 30491497564 39374847248 56825063642 60982995128 78749694496 113650127284 121965990256 227300254568 243931980512 312537850031 454600509136 625075700062 909201018272 1250151400124 2500302800248 5000605600496 10001211200992