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22013014100 = 22527112858833
BaseRepresentation
bin10100100000000100…
…111111000001010100
32002211010100222110112
4110200010333001110
5330040312422400
614040155142152
71406334350450
oct244004770124
962733328415
1022013014100
119376855340
124324144958
1320ca75a73c
1410cb7ab660
1588c84e835
hex52013f054

22013014100 has 72 divisors (see below), whose sum is σ = 59555229888. Its totient is φ = 6861196800.

The previous prime is 22013014073. The next prime is 22013014109. The reversal of 22013014100 is 141031022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013014109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1421717 + ... + 1437116.

Almost surely, 222013014100 is an apocalyptic number.

22013014100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22013014100 is an abundant number, since it is smaller than the sum of its proper divisors (37542215788).

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

22013014100 is a wasteful number, since it uses less digits than its factorization.

22013014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858865 (or 2858858 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22013014100 its reverse (141031022), we get a palindrome (22154045122).

The spelling of 22013014100 in words is "twenty-two billion, thirteen million, fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 2858833 5717666 11435332 14294165 20011831 28588330 31447163 40023662 57176660 62894326 71470825 80047324 100059155 125788652 142941650 157235815 200118310 220130141 285883300 314471630 400236620 440260282 500295775 628943260 786179075 880520564 1000591550 1100650705 1572358150 2001183100 2201301410 3144716300 4402602820 5503253525 11006507050 22013014100