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10222310110112 = 254173332332119
BaseRepresentation
bin1001010011000001000100…
…1010011011001110100000
31100012020120100220221220022
42110300101022123032200
52314440242342010422
633424021530133012
72103352242165152
oct224602112331640
940166510827808
1010222310110112
113291291620151
12119119ab81168
13591c62627189
14274a96236ad2
1512ad8bd50342
hex94c1129b3a0

10222310110112 has 96 divisors (see below), whose sum is σ = 20905382171520. Its totient is φ = 4916551495680.

The previous prime is 10222310110099. The next prime is 10222310110141. The reversal of 10222310110112 is 21101101322201.

It is a happy 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, 318247589 + ... + 318279707.

It is an arithmetic number, because the mean of its divisors is an integer number (217764397620).

Almost surely, 210222310110112 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 10222310110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10452691085760).

10222310110112 is an abundant number, since it is smaller than the sum of its proper divisors (10683072061408).

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

10222310110112 is a wasteful number, since it uses less digits than its factorization.

10222310110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35566 (or 35558 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10222310110112 its reverse (21101101322201), we get a palindrome (31323411432313).

The spelling of 10222310110112 in words is "ten trillion, two hundred twenty-two billion, three hundred ten million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 73 82 146 164 292 328 584 656 1168 1312 2336 2993 3323 5986 6646 11972 13292 23944 26584 32119 47888 53168 64238 95776 106336 128476 136243 242579 256952 272486 485158 513904 544972 970316 1027808 1089944 1316879 1940632 2179888 2344687 2633758 3881264 4359776 4689374 5267516 7762528 9378748 9945739 10535032 18757496 19891478 21070064 37514992 39782956 42140128 75029984 79565912 96132167 106731437 159131824 192264334 213462874 318263648 384528668 426925748 769057336 853851496 1538114672 1707702992 3076229344 3415405984 4375988917 7791394901 8751977834 15582789802 17503955668 31165579604 35007911336 62331159208 70015822672 124662318416 140031645344 249324636832 319447190941 638894381882 1277788763764 2555577527528 5111155055056 10222310110112