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11012101000212 = 22313218312965609
BaseRepresentation
bin1010000000111111010001…
…0111100100110000010100
31102222202011020211011220110
42200033310113210300110
52420410240324001322
635230520034003020
72214412062036324
oct240176427446024
942882136734813
1011012101000212
113566229a25534
12129a276416470
1361b58a48c700
142a0dba765284
151416b3c2ac0c
hexa03f45e4c14

11012101000212 has 72 divisors (see below), whose sum is σ = 27838679292480. Its totient is φ = 3386487087360.

The previous prime is 11012101000183. The next prime is 11012101000223. The reversal of 11012101000212 is 21200010121011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2230464 + ... + 5196072.

Almost surely, 211012101000212 is an apocalyptic number.

11012101000212 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 11012101000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13919339646240).

11012101000212 is an abundant number, since it is smaller than the sum of its proper divisors (16826578292268).

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

11012101000212 is a wasteful number, since it uses less digits than its factorization.

11012101000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967473 (or 2967458 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11012101000212 its reverse (21200010121011), we get a palindrome (32212111121223).

The spelling of 11012101000212 in words is "eleven trillion, twelve billion, one hundred one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 1831 2028 3662 5493 7324 10986 21972 23803 47606 71409 95212 142818 285636 309439 618878 928317 1237756 1856634 2965609 3713268 5931218 8896827 11862436 17793654 35587308 38552917 77105834 115658751 154211668 231317502 462635004 501187921 1002375842 1503563763 2004751684 3007127526 5430030079 6014255052 10860060158 16290090237 21720120316 32580180474 65160360948 70590391027 141180782054 211771173081 282361564108 423542346162 847084692324 917675083351 1835350166702 2753025250053 3670700333404 5506050500106 11012101000212