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14031022200 = 23352132138373
BaseRepresentation
bin11010001000101000…
…00110100001111000
31100012211211210000220
431010110012201320
5212213420202300
610240141300040
71004462502156
oct150424064170
940184753026
1014031022200
115a50167718
122876b64620
131427b81200
149716703d6
15571c0eda0
hex344506878

14031022200 has 144 divisors (see below), whose sum is σ = 47099742120. Its totient is φ = 3453765120.

The previous prime is 14031022193. The next prime is 14031022217. The reversal of 14031022200 is 222013041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14031022200.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 32214 + ... + 170586.

Almost surely, 214031022200 is an apocalyptic number.

14031022200 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 14031022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23549871060).

14031022200 is an abundant number, since it is smaller than the sum of its proper divisors (33068719920).

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

14031022200 is a wasteful number, since it uses less digits than its factorization.

14031022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138418 (or 138396 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 14031022200 its reverse (222013041), we get a palindrome (14253035241).

The spelling of 14031022200 in words is "fourteen billion, thirty-one million, twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 169 195 200 260 300 312 325 338 390 507 520 600 650 676 780 845 975 1014 1300 1352 1560 1690 1950 2028 2535 2600 3380 3900 4056 4225 5070 6760 7800 8450 10140 12675 16900 20280 25350 33800 50700 101400 138373 276746 415119 553492 691865 830238 1106984 1383730 1660476 1798849 2075595 2767460 3320952 3459325 3597698 4151190 5396547 5534920 6918650 7195396 8302380 8994245 10377975 10793094 13837300 14390792 16604760 17988490 20755950 21586188 23385037 26982735 27674600 35976980 41511900 43172376 44971225 46770074 53965470 70155111 71953960 83023800 89942450 93540148 107930940 116925185 134913675 140310222 179884900 187080296 215861880 233850370 269827350 280620444 350775555 359769800 467700740 539654700 561240888 584625925 701551110 935401480 1079309400 1169251850 1403102220 1753877775 2338503700 2806204440 3507755550 4677007400 7015511100 14031022200