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22112211100100 = 225211124331616827
BaseRepresentation
bin1010000011100011001100…
…11111001110000111000100
32220021220111000021212010012
411001301212133032013010
510344241302020200400
6115010113132245352
74441361130110252
oct501614637160704
986256430255105
1022112211100100
11705581077a190
1225915b2910858
13c45232161b54
1456634581b5d2
152852c911bd35
hex141c667ce1c4

22112211100100 has 72 divisors (see below), whose sum is σ = 52349876872608. Its totient is φ = 8040152332800.

The previous prime is 22112211100097. The next prime is 22112211100103. The reversal of 22112211100100 is 100111221122.

It is an interprime number because it is at equal distance from previous prime (22112211100097) and next prime (22112211100103).

It is not an unprimeable number, because it can be changed into a prime (22112211100103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12867887 + ... + 14484713.

Almost surely, 222112211100100 is an apocalyptic number.

22112211100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112211100100 is an abundant number, since it is smaller than the sum of its proper divisors (30237665772508).

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

22112211100100 is a wasteful number, since it uses less digits than its factorization.

22112211100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629285 (or 1629278 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22112211100100 its reverse (100111221122), we get a palindrome (22212322321222).

The spelling of 22112211100100 in words is "twenty-two trillion, one hundred twelve billion, two hundred eleven million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 12433 24866 49732 62165 124330 136763 248660 273526 310825 547052 621650 683815 1243300 1367630 1616827 2735260 3233654 3419075 6467308 6838150 8084135 13676300 16168270 17785097 32336540 35570194 40420675 71140388 80841350 88925485 161682700 177850970 355701940 444627425 889254850 1778509700 20102010091 40204020182 80408040364 100510050455 201020100910 221122111001 402040201820 442244222002 502550252275 884488444004 1005100504550 1105610555005 2010201009100 2211221110010 4422442220020 5528052775025 11056105550050 22112211100100