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14302212100 = 22521123313571
BaseRepresentation
bin11010101000111101…
…00111000000000100
31100220202010122122021
431110132213000010
5213242331241400
610323110012524
71014264540241
oct152436470004
940822118567
1014302212100
11607a253700
122931947144
13146c1027c7
149996a45c8
1558a92c71a
hex3547a7004

14302212100 has 108 divisors (see below), whose sum is σ = 34226375344. Its totient is φ = 5183640000.

The previous prime is 14302212059. The next prime is 14302212103. The reversal of 14302212100 is 121220341.

It is not an unprimeable number, because it can be changed into a prime (14302212103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4003315 + ... + 4006885.

Almost surely, 214302212100 is an apocalyptic number.

14302212100 is a gapful number since it is divisible by the number (10) 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 14302212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113187672).

14302212100 is an abundant number, since it is smaller than the sum of its proper divisors (19924163244).

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

14302212100 is a wasteful number, since it uses less digits than its factorization.

14302212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14302212100 its reverse (121220341), we get a palindrome (14423432441).

The spelling of 14302212100 in words is "fourteen billion, three hundred two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 331 484 550 605 662 1100 1210 1324 1655 2420 3025 3310 3571 3641 6050 6620 7142 7282 8275 12100 14284 14564 16550 17855 18205 33100 35710 36410 39281 40051 71420 72820 78562 80102 89275 91025 157124 160204 178550 182050 196405 200255 357100 364100 392810 400510 432091 785620 801020 864182 982025 1001275 1182001 1728364 1964050 2002550 2160455 2364002 3928100 4005100 4320910 4728004 5910005 8641820 10802275 11820010 13002011 21604550 23640020 26004022 29550025 43209100 52008044 59100050 65010055 118200100 130020110 143022121 260040220 286044242 325050275 572088484 650100550 715110605 1300201100 1430221210 2860442420 3575553025 7151106050 14302212100