Search a number
-
+
112202110021122 = 233111923432248149
BaseRepresentation
bin11001100000110000010110…
…111010010010111000000010
3112201021102020222001111102000
4121200300112322102320002
5104201304410131133442
61034344534320004430
732430222612043662
oct3140602672227002
9481242228044360
10112202110021122
1132829714005290
121070162b760716
134a7b7c9040bb4
141d9c87ac0a1a2
15ce897b00ad4c
hex660c16e92e02

112202110021122 has 128 divisors (see below), whose sum is σ = 298769921280000. Its totient is φ = 30810647989440.

The previous prime is 112202110021091. The next prime is 112202110021159. The reversal of 112202110021122 is 221120011202211.

112202110021122 is a `hidden beast` number, since 1 + 1 + 220 + 211 + 0 + 0 + 211 + 22 = 666.

It is a super-2 number, since 2×1122021100211222 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112202110021095 and 112202110021104.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 215864497 + ... + 216383652.

It is an arithmetic number, because the mean of its divisors is an integer number (2334140010000).

Almost surely, 2112202110021122 is an apocalyptic number.

112202110021122 is an abundant number, since it is smaller than the sum of its proper divisors (186567811258878).

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

112202110021122 is a wasteful number, since it uses less digits than its factorization.

112202110021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432248213 (or 432248207 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112202110021122 its reverse (221120011202211), we get a palindrome (333322121223333).

The spelling of 112202110021122 in words is "one hundred twelve trillion, two hundred two billion, one hundred ten million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 23 27 33 38 46 54 57 66 69 99 114 138 171 198 207 209 253 297 342 414 418 437 506 513 594 621 627 759 874 1026 1242 1254 1311 1518 1881 2277 2622 3762 3933 4554 4807 5643 6831 7866 9614 11286 11799 13662 14421 23598 28842 43263 86526 129789 259578 432248149 864496298 1296744447 2593488894 3890233341 4754729639 7780466682 8212714831 9509459278 9941707427 11670700023 14264188917 16425429662 19883414854 23341400046 24638144493 28528377834 29825122281 42792566751 49276288986 59650244562 73914433479 85585133502 89475366843 90339863141 109358781697 128377700253 147828866958 178950733686 180679726282 188892441113 218717563394 221743300437 256755400506 268426100529 271019589423 328076345091 377784882226 443486600874 536852201058 542039178846 566677323339 656152690182 813058768269 984229035273 1133354646678 1626117536538 1700031970017 1968458070546 2077816852243 2439176304807 2952687105819 3400063940034 4155633704486 4878352609614 5100095910051 5905374211638 6233450556729 10200191820102 12466901113458 18700351670187 37400703340374 56101055010561 112202110021122