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111220002000100 = 22527954831664021
BaseRepresentation
bin11001010010011101101100…
…101101100000110011100100
3112120210112021011112202222001
4121102131230231200303210
5104034212031003000400
61032313432532415044
732266244221436650
oct3122355455406344
9476715234482861
10111220002000100
11324901576a1a84
1210583221777484
134a0a0027b4286
141d67110b11a60
15ccd14a411a6a
hex65276cb60ce4

111220002000100 has 72 divisors (see below), whose sum is σ = 275828659460928. Its totient is φ = 38132149833600.

The previous prime is 111220002000091. The next prime is 111220002000101. The reversal of 111220002000100 is 1000200022111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (111220002000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66006090 + ... + 67670110.

It is an arithmetic number, because the mean of its divisors is an integer number (3830953603624).

Almost surely, 2111220002000100 is an apocalyptic number.

111220002000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111220002000100 is an abundant number, since it is smaller than the sum of its proper divisors (164608657460828).

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

111220002000100 is a wasteful number, since it uses less digits than its factorization.

111220002000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759525 (or 1759518 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 111220002000100 its reverse (1000200022111), we get a palindrome (112220202022211).

The spelling of 111220002000100 in words is "one hundred eleven trillion, two hundred twenty billion, two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 95483 190966 381932 477415 668381 954830 1336762 1664021 1909660 2387075 2673524 3328042 3341905 4774150 6656084 6683810 8320105 9548300 11648147 13367620 16640210 16709525 23296294 33280420 33419050 41600525 46592588 58240735 66838100 83201050 116481470 166402100 232962940 291203675 582407350 1164814700 158885717143 317771434286 635542868572 794428585715 1112200020001 1588857171430 2224400040002 3177714342860 3972142928575 4448800080004 5561000100005 7944285857150 11122000200010 15888571714300 22244000400020 27805000500025 55610001000050 111220002000100