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14195060100 = 223252131213253
BaseRepresentation
bin11010011100001011…
…10110110110000100
31100122021111202201200
431032011312312010
5213032413410400
610304321222500
71011524006604
oct151605666604
940567452650
1014195060100
116024817831
122901a91a30
131452b56860
14989370c04
15581313b00
hex34e176d84

14195060100 has 108 divisors (see below), whose sum is σ = 47916253476. Its totient is φ = 3494165760.

The previous prime is 14195060093. The next prime is 14195060107. The reversal of 14195060100 is 106059141.

14195060100 is a `hidden beast` number, since 1 + 4 + 1 + 9 + 50 + 601 + 0 + 0 = 666.

14195060100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14195060093) and next prime (14195060107).

It can be written as a sum of positive squares in 6 ways, for example, as 161340804 + 14033719296 = 12702^2 + 118464^2 .

It is a super-2 number, since 2×141950601002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14195060107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 594927 + ... + 618326.

Almost surely, 214195060100 is an apocalyptic number.

14195060100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14195060100 is an abundant number, since it is smaller than the sum of its proper divisors (33721193376).

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

14195060100 is a wasteful number, since it uses less digits than its factorization.

14195060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213286 (or 1213276 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 14195060100 in words is "fourteen billion, one hundred ninety-five million, sixty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 1213253 2426506 3639759 4853012 6066265 7279518 10919277 12132530 14559036 15772289 18198795 21838554 24265060 30331325 31544578 36397590 43677108 47316867 54596385 60662650 63089156 72795180 78861445 90993975 94633734 109192770 121325300 141950601 157722890 181987950 189267468 218385540 236584335 272981925 283901202 315445780 363975900 394307225 473168670 545963850 567802404 709753005 788614450 946337340 1091927700 1182921675 1419506010 1577228900 2365843350 2839012020 3548765025 4731686700 7097530050 14195060100