Search a number
-
+
1011122212212 = 2232721015675233
BaseRepresentation
bin11101011011010111001…
…01001000110101110100
310120122212211211100100200
432231223211020311310
5113031234241242322
62052300402040500
7133023356665500
oct16555345106564
93518784740320
101011122212212
1135a8a6146612
12143b66949130
137446b612cb8
1436d1d64b300
151b47cde68ac
hexeb6b948d74

1011122212212 has 108 divisors (see below), whose sum is σ = 3002618753316. Its totient is φ = 286031692800.

The previous prime is 1011122212159. The next prime is 1011122212223. The reversal of 1011122212212 is 2122122211101.

It can be written as a sum of positive squares in 2 ways, for example, as 833945198436 + 177177013776 = 913206^2 + 420924^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2659453 + ... + 3015780.

Almost surely, 21011122212212 is an apocalyptic number.

1011122212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011122212212 is an abundant number, since it is smaller than the sum of its proper divisors (1991496541104).

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

1011122212212 is a wasteful number, since it uses less digits than its factorization.

1011122212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5675358 (or 5675346 counting only the distinct ones).

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

Adding to 1011122212212 its reverse (2122122211101), we get a palindrome (3133244423313).

The spelling of 1011122212212 in words is "one trillion, eleven billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 101 126 147 196 202 252 294 303 404 441 588 606 707 882 909 1212 1414 1764 1818 2121 2828 3636 4242 4949 6363 8484 9898 12726 14847 19796 25452 29694 44541 59388 89082 178164 5675233 11350466 17025699 22700932 34051398 39726631 51077097 68102796 79453262 102154194 119179893 158906524 204308388 238359786 278086417 357539679 476719572 556172834 573198533 715079358 834259251 1112345668 1146397066 1430158716 1668518502 1719595599 2292794132 2502777753 3337037004 3439191198 4012389731 5005555506 5158786797 6878382396 8024779462 10011111012 10317573594 12037169193 16049558924 20635147188 24074338386 28086728117 36111507579 48148676772 56173456234 72223015158 84260184351 112346912468 144446030316 168520368702 252780553053 337040737404 505561106106 1011122212212