Search a number
-
+
10222112200212 = 22341113732088971
BaseRepresentation
bin1001010011000000010101…
…0111011101011000010100
31100012020001120112002120000
42110300011113131120110
52314434341210401322
633423550140211300
72103344320034313
oct224600527353024
940166046462500
1010222112200212
11329119a935550
121191144839b30
13591c30622323
14274a77c3a27a
1512ad797aa3ac
hex94c055dd614

10222112200212 has 120 divisors (see below), whose sum is σ = 29173195874592. Its totient is φ = 3095352187200.

The previous prime is 10222112200151. The next prime is 10222112200219. The reversal of 10222112200212 is 21200221122201.

It is a happy number.

10222112200212 is a `hidden beast` number, since 1 + 0 + 22 + 211 + 220 + 0 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222112200219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3848887 + ... + 5937857.

Almost surely, 210222112200212 is an apocalyptic number.

10222112200212 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 10222112200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14586597937296).

10222112200212 is an abundant number, since it is smaller than the sum of its proper divisors (18951083674380).

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

10222112200212 is a wasteful number, since it uses less digits than its factorization.

10222112200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090371 (or 2090360 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222112200212 its reverse (21200221122201), we get a palindrome (31422333322413).

The spelling of 10222112200212 in words is "ten trillion, two hundred twenty-two billion, one hundred twelve million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1373 1782 2746 3564 4119 5492 8238 12357 15103 16476 24714 30206 37071 45309 49428 60412 74142 90618 111213 135927 148284 181236 222426 271854 407781 444852 543708 815562 1223343 1631124 2088971 2446686 4177942 4893372 6266913 8355884 12533826 18800739 22978681 25067652 37601478 45957362 56402217 68936043 75202956 91914724 112804434 137872086 169206651 206808129 225608868 275744172 338413302 413616258 620424387 676826604 827232516 1240848774 1861273161 2481697548 2868157183 3722546322 5736314366 7445092644 8604471549 11472628732 17208943098 25813414647 31549729013 34417886196 51626829294 63099458026 77440243941 94649187039 103253658588 126198916052 154880487882 189298374078 232320731823 283947561117 309760975764 378596748156 464641463646 567895122234 851842683351 929282927292 1135790244468 1703685366702 2555528050053 3407370733404 5111056100106 10222112200212