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10022222221120 = 265241182371287
BaseRepresentation
bin1001000111010111101011…
…1111101100111101000000
31022111010002220021001101001
42101311322333230331000
52303201002342033440
633152051220221344
72053040003200054
oct221657277547500
938433086231331
1010022222221120
11321444518a71a
12115a459b3a854
13579126044ba5
142691145d7c64
15125a7ad19b9a
hex91d7afecf40

10022222221120 has 112 divisors (see below), whose sum is σ = 23977925250048. Its totient is φ = 3990008586240.

The previous prime is 10022222221087. The next prime is 10022222221153. The reversal of 10022222221120 is 2112222222001.

It is an interprime number because it is at equal distance from previous prime (10022222221087) and next prime (10022222221153).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140554117 + ... + 140625403.

It is an arithmetic number, because the mean of its divisors is an integer number (214088618304).

Almost surely, 210022222221120 is an apocalyptic number.

10022222221120 is a gapful number since it is divisible by the number (10) 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 10022222221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11988962625024).

10022222221120 is an abundant number, since it is smaller than the sum of its proper divisors (13955703028928).

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

10022222221120 is a wasteful number, since it uses less digits than its factorization.

10022222221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73368 (or 73358 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10022222221120 its reverse (2112222222001), we get a palindrome (12134444443121).

The spelling of 10022222221120 in words is "ten trillion, twenty-two billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 241 320 482 964 1205 1823 1928 2410 3646 3856 4820 7292 7712 9115 9640 14584 15424 18230 19280 29168 36460 38560 58336 71287 72920 77120 116672 142574 145840 285148 291680 356435 439343 570296 583360 712870 878686 1140592 1425740 1757372 2196715 2281184 2851480 3514744 4393430 4562368 5702960 7029488 8786860 11405920 14058976 17180167 17573720 22811840 28117952 34360334 35147440 68720668 70294880 85900835 129956201 137441336 140589760 171801670 259912402 274882672 343603340 519824804 549765344 649781005 687206680 1039649608 1099530688 1299562010 1374413360 2079299216 2599124020 2748826720 4158598432 5198248040 5497653440 8317196864 10396496080 20792992160 31319444441 41585984320 62638888882 125277777764 156597222205 250555555528 313194444410 501111111056 626388888820 1002222222112 1252777777640 2004444444224 2505555555280 5011111110560 10022222221120