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101111122012212 = 223213425233508073
BaseRepresentation
bin10110111111010111000100…
…100000101010100000110100
3111021000010110221102001112200
4112333113010200222200310
5101223101034213342322
6555013450323344500
730204015601334334
oct2677270440524064
9437003427361480
10101111122012212
112a242a934615a4
12b41001a222130
1344559791c8620
141ad7b3946b0c4
15ba51eb8b18ac
hex5bf5c482a834

101111122012212 has 72 divisors (see below), whose sum is σ = 275248132288584. Its totient is φ = 31110980069376.

The previous prime is 101111122012151. The next prime is 101111122012237. The reversal of 101111122012212 is 212210221111101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7715983950756 + 93395138061456 = 2777766^2 + 9664116^2 .

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 23 ways as a sum of consecutive naturals, for example, 198755008 + ... + 199263080.

Almost surely, 2101111122012212 is an apocalyptic number.

101111122012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101111122012212 is an abundant number, since it is smaller than the sum of its proper divisors (174137010276372).

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

101111122012212 is a wasteful number, since it uses less digits than its factorization.

101111122012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933329 (or 933324 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101111122012212 its reverse (212210221111101), we get a palindrome (313321343123313).

The spelling of 101111122012212 in words is "one hundred one trillion, one hundred eleven billion, one hundred twenty-two million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 425233 508073 850466 1016146 1275699 1524219 1700932 2032292 2551398 3048438 3827097 4572657 5102796 5528029 6096876 6604949 7654194 9145314 11056058 13209898 15308388 16584087 18290628 19814847 22112116 26419796 33168174 39629694 49752261 59444541 66336348 79259388 99504522 118889082 199009044 237778164 216049406009 432098812018 648148218027 864197624036 1296296436054 1944444654081 2592592872108 2808642278117 3888889308162 5617284556234 7777778616324 8425926834351 11234569112468 16851853668702 25277780503053 33703707337404 50555561006106 101111122012212