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211012131012012 = 223311612911797359
BaseRepresentation
bin101111111110101000010111…
…000111001011110110101100
31000200010120012012220222221000
4233332220113013023312230
5210124210321014341022
62024441345034440300
762306060213432121
oct5776502707136654
91020116165828830
10211012131012012
1161264818977120
121b7bb693893090
139098487a28a45
143a1708235c748
15195dd9a7476ac
hexbfea171cbdac

211012131012012 has 96 divisors (see below), whose sum is σ = 606585626035200. Its totient is φ = 62894822932800.

The previous prime is 211012131011999. The next prime is 211012131012031. The reversal of 211012131012012 is 210210131210112.

It is a happy number.

211012131012012 is a `hidden beast` number, since 2 + 110 + 121 + 310 + 120 + 1 + 2 = 666.

It is a super-2 number, since 2×2110121310120122 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1455826212 + ... + 1455971147.

It is an arithmetic number, because the mean of its divisors is an integer number (6318600271200).

Almost surely, 2211012131012012 is an apocalyptic number.

211012131012012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211012131012012 is an abundant number, since it is smaller than the sum of its proper divisors (395573495023188).

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

211012131012012 is a wasteful number, since it uses less digits than its factorization.

211012131012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911797444 (or 2911797436 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 211012131012012 its reverse (210210131210112), we get a palindrome (421222262222124).

It can be divided in two parts, 2110121 and 31012012, that added together give a palindrome (33122133).

The spelling of 211012131012012 in words is "two hundred eleven trillion, twelve billion, one hundred thirty-one million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 99 108 122 132 183 198 244 297 366 396 549 594 671 732 1098 1188 1342 1647 2013 2196 2684 3294 4026 6039 6588 8052 12078 18117 24156 36234 72468 2911797359 5823594718 8735392077 11647189436 17470784154 26206176231 32029770949 34941568308 52412352462 64059541898 78618528693 96089312847 104824704924 128119083796 157237057386 177619638899 192178625694 288267938541 314474114772 355239277798 384357251388 532858916697 576535877082 710478555596 864803815623 1065717833394 1153071754164 1598576750091 1729607631246 1953816027889 2131435666788 3197153500182 3459215262492 3907632055778 4795730250273 5861448083667 6394307000364 7815264111556 9591460500546 11722896167334 17584344251001 19182921001092 23445792334668 35168688502002 52753032753003 70337377004004 105506065506006 211012131012012