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11212010110212 = 22323374792292119
BaseRepresentation
bin1010001100100111111111…
…1000010011110100000100
31110200212011021002011202120
42203021333320103310010
52432144144042011322
635502420520005540
72235020030323032
oct243117770236404
943625137064676
1011212010110212
113632a9445772a
121310b676008b0
13634398a07802
142aa942747552
151469b41e9a5c
hexa327fe13d04

11212010110212 has 96 divisors (see below), whose sum is σ = 28095156633600. Its totient is φ = 3470963455872.

The previous prime is 11212010110183. The next prime is 11212010110277. The reversal of 11212010110212 is 21201101021211.

It is a happy number.

11212010110212 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 2×112120101102122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11212010110191 and 11212010110200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3745489 + ... + 6037607.

It is an arithmetic number, because the mean of its divisors is an integer number (292657881600).

Almost surely, 211212010110212 is an apocalyptic number.

11212010110212 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 11212010110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14047578316800).

11212010110212 is an abundant number, since it is smaller than the sum of its proper divisors (16883146523388).

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

11212010110212 is a wasteful number, since it uses less digits than its factorization.

11212010110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292665 (or 2292663 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11212010110212 its reverse (21201101021211), we get a palindrome (32413111131423).

The spelling of 11212010110212 in words is "eleven trillion, two hundred twelve billion, ten million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 479 851 958 1437 1702 1916 2553 2874 3404 5106 5748 10212 11017 17723 22034 33051 35446 44068 53169 66102 70892 106338 132204 212676 407629 815258 1222887 1630516 2292119 2445774 4584238 4891548 6876357 9168476 13752714 27505428 52718737 84808403 105437474 158156211 169616806 210874948 254425209 316312422 339233612 508850418 632624844 1017700836 1097925001 1950593269 2195850002 3293775003 3901186538 4391700004 5851779807 6587550006 7802373076 11703559614 13175100012 23407119228 25252275023 40623225037 50504550046 75756825069 81246450074 101009100092 121869675111 151513650138 162492900148 243739350222 303027300276 487478700444 934334175851 1868668351702 2803002527553 3737336703404 5606005055106 11212010110212