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22022211010112 = 263126358277243
BaseRepresentation
bin1010000000111011100100…
…00100000111111001000000
32212222022011202020120112222
411000131302010013321000
510341302442004310422
6114500510350110212
74432023630010325
oct500356204077100
985868152216488
1022022211010112
117020626aa7525
122578075aab368
13c398bb30a931
14561c488d8b4c
15282cacc73842
hex140772107e40

22022211010112 has 112 divisors (see below), whose sum is σ = 45295557660672. Its totient is φ = 10612104675840.

The previous prime is 22022211010099. The next prime is 22022211010127. The reversal of 22022211010112 is 21101011222022.

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, 3040478363 + ... + 3040485605.

Almost surely, 222022211010112 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 22022211010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22647778830336).

22022211010112 is an abundant number, since it is smaller than the sum of its proper divisors (23273346650560).

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

22022211010112 is a wasteful number, since it uses less digits than its factorization.

22022211010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13376 (or 13366 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22022211010112 its reverse (21101011222022), we get a palindrome (43123222232134).

It can be divided in two parts, 22022 and 211010112, that multiplied together give a palindrome (4646864686464).

The spelling of 22022211010112 in words is "twenty-two trillion, twenty-two billion, two hundred eleven million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 263 496 526 992 1052 1984 2104 4208 5827 7243 8153 8416 11654 14486 16306 16832 23308 28972 32612 46616 57944 65224 93232 115888 130448 180637 186464 224533 231776 260896 361274 372928 449066 463552 521792 722548 898132 1445096 1532501 1796264 1904909 2890192 3065002 3592528 3809818 5780384 6130004 7185056 7619636 11560768 12260008 14370112 15239272 24520016 30478544 42204961 47507531 49040032 59052179 60957088 84409922 95015062 98080064 118104358 121914176 168819844 190030124 236208716 337639688 380060248 472417432 675279376 760120496 944834864 1308353791 1350558752 1520240992 1889669728 2616707582 2701117504 3040481984 3779339456 5233415164 10466830328 11099904743 20933660656 22199809486 41867321312 44399618972 83734642624 88799237944 177598475888 344097047033 355196951776 688194094066 710393903552 1376388188132 2752776376264 5505552752528 11011105505056 22022211010112