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1011212122212 = 2232235328182003
BaseRepresentation
bin11101011011100001111…
…00000111100001100100
310120200010010000020200200
432231300330013201210
5113031430300402322
62052313333110500
7133025531134665
oct16556074074144
93520103006620
101011212122212
1135a9419762a6
12143b90a88430
1374484132c96
1436d2b57336c
151b485c568ac
hexeb70f07864

1011212122212 has 144 divisors (see below), whose sum is σ = 2727285095808. Its totient is φ = 315202567680.

The previous prime is 1011212122169. The next prime is 1011212122231. The reversal of 1011212122212 is 2122212121101.

1011212122212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10112121222122 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12290403 + ... + 12372405.

It is an arithmetic number, because the mean of its divisors is an integer number (18939479832).

Almost surely, 21011212122212 is an apocalyptic number.

1011212122212 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 1011212122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363642547904).

1011212122212 is an abundant number, since it is smaller than the sum of its proper divisors (1716072973596).

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

1011212122212 is a wasteful number, since it uses less digits than its factorization.

1011212122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82370 (or 82365 counting only the distinct ones).

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

Adding to 1011212122212 its reverse (2122212121101), we get a palindrome (3133424243313).

The spelling of 1011212122212 in words is "one trillion, eleven billion, two hundred twelve million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 53 69 92 106 138 159 207 212 276 281 318 414 477 562 636 828 843 954 1124 1219 1686 1908 2438 2529 3372 3657 4876 5058 6463 7314 10116 10971 12926 14628 14893 19389 21942 25852 29786 38778 43884 44679 58167 59572 77556 82003 89358 116334 134037 164006 178716 232668 246009 268074 328012 342539 492018 536148 685078 738027 984036 1027617 1370156 1476054 1886069 2055234 2952108 3082851 3772138 4110468 4346159 5658207 6165702 7544276 8692318 11316414 12331404 13038477 16974621 17384636 22632828 23042843 26076954 33949242 39115431 46085686 52153908 67898484 69128529 78230862 92171372 99961657 138257058 156461724 199923314 207385587 276514116 299884971 399846628 414771174 529985389 599769942 829542348 899654913 1059970778 1199539884 1221270679 1589956167 1799309826 2119941556 2442541358 3179912334 3598619652 3663812037 4769868501 4885082716 6359824668 7327624074 9539737002 10991436111 14655248148 19079474004 21982872222 28089225617 43965744444 56178451234 84267676851 112356902468 168535353702 252803030553 337070707404 505606061106 1011212122212