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14321100120 = 2335374375011
BaseRepresentation
bin11010101011001101…
…01010010101011000
31100222001200021010120
431111212222111120
5213312200200440
610325022513240
71014614225325
oct152546522530
940861607116
1014321100120
116089984538
122938135820
131472cb6a52
1499bdbdb4c
1558c40ddd0
hex3559aa558

14321100120 has 128 divisors (see below), whose sum is σ = 45151223040. Its totient is φ = 3629283840.

The previous prime is 14321100107. The next prime is 14321100127. The reversal of 14321100120 is 2100112341.

14321100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 14321100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14321100127) 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 31 ways as a sum of consecutive naturals, for example, 153415 + ... + 228425.

It is an arithmetic number, because the mean of its divisors is an integer number (352743930).

Almost surely, 214321100120 is an apocalyptic number.

14321100120 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 14321100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22575611520).

14321100120 is an abundant number, since it is smaller than the sum of its proper divisors (30830122920).

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

14321100120 is a wasteful number, since it uses less digits than its factorization.

14321100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75105 (or 75101 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 14321100120 its reverse (2100112341), we get a palindrome (16421212461).

The spelling of 14321100120 in words is "fourteen billion, three hundred twenty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 43 60 74 86 111 120 129 148 172 185 215 222 258 296 344 370 430 444 516 555 645 740 860 888 1032 1110 1290 1480 1591 1720 2220 2580 3182 4440 4773 5160 6364 7955 9546 12728 15910 19092 23865 31820 38184 47730 63640 75011 95460 150022 190920 225033 300044 375055 450066 600088 750110 900132 1125165 1500220 1800264 2250330 2775407 3000440 3225473 4500660 5550814 6450946 8326221 9001320 9676419 11101628 12901892 13877035 16127365 16652442 19352838 22203256 25803784 27754070 32254730 33304884 38705676 41631105 48382095 55508140 64509460 66609768 77411352 83262210 96764190 111016280 119342501 129018920 166524420 193528380 238685002 333048840 358027503 387056760 477370004 596712505 716055006 954740008 1193425010 1432110012 1790137515 2386850020 2864220024 3580275030 4773700040 7160550060 14321100120