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1010022022212 = 2237163332922159
BaseRepresentation
bin11101011001010100000…
…00001111110001000100
310120120001011121220101220
432230222000033301010
5113022011114202322
62051555301120340
7132654200351460
oct16545200176104
93516034556356
101010022022212
1135a391111585
121438ba3b90b0
13743246c69b8
1436c5749d4a0
151b41652455c
hexeb2a00fc44

1010022022212 has 96 divisors (see below), whose sum is σ = 2710852300800. Its totient is φ = 286708211712.

The previous prime is 1010022022201. The next prime is 1010022022259. The reversal of 1010022022212 is 2122202200101.

It is a junction number, because it is equal to n+sod(n) for n = 1010022022191 and 1010022022200.

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 31 ways as a sum of consecutive naturals, for example, 45569589 + ... + 45591747.

It is an arithmetic number, because the mean of its divisors is an integer number (28238044800).

Almost surely, 21010022022212 is an apocalyptic number.

1010022022212 is a gapful number since it is divisible by the number (12) 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 1010022022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355426150400).

1010022022212 is an abundant number, since it is smaller than the sum of its proper divisors (1700830278588).

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

1010022022212 is a wasteful number, since it uses less digits than its factorization.

1010022022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25665 (or 25663 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1010022022212 its reverse (2122202200101), we get a palindrome (3132224222313).

The spelling of 1010022022212 in words is "one trillion, ten billion, twenty-two million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 163 326 489 652 978 1141 1956 2282 3329 3423 4564 6658 6846 9987 13316 13692 19974 22159 23303 39948 44318 46606 66477 69909 88636 93212 132954 139818 155113 265908 279636 310226 465339 542627 620452 930678 1085254 1627881 1861356 2170508 3255762 3611917 3798389 6511524 7223834 7596778 10835751 11395167 14447668 15193556 21671502 22790334 25283419 43343004 45580668 50566838 73767311 75850257 101133676 147534622 151700514 221301933 295069244 303401028 442603866 516371177 885207732 1032742354 1549113531 2065484708 3098227062 6196454124 12024071693 24048143386 36072215079 48096286772 72144430158 84168501851 144288860316 168337003702 252505505553 336674007404 505011011106 1010022022212