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14201251220 = 22513100954133
BaseRepresentation
bin11010011100111010…
…11110010110010100
31100122201011022100102
431032131132112110
5213041010014340
610305102033232
71011630433532
oct151635362624
940581138312
1014201251220
116028266262
122903b78818
131454213840
1498a103152
15581b38215
hex34e75e594

14201251220 has 48 divisors (see below), whose sum is σ = 32149099920. Its totient is φ = 5238245376.

The previous prime is 14201251213. The next prime is 14201251231. The reversal of 14201251220 is 2215210241.

It can be written as a sum of positive squares in 8 ways, for example, as 6497327236 + 7703923984 = 80606^2 + 87772^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14201251192 and 14201251201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235274 + ... + 289406.

It is an arithmetic number, because the mean of its divisors is an integer number (669772915).

Almost surely, 214201251220 is an apocalyptic number.

14201251220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14201251220 is an abundant number, since it is smaller than the sum of its proper divisors (17947848700).

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

14201251220 is a wasteful number, since it uses less digits than its factorization.

14201251220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55164 (or 55162 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 14201251220 its reverse (2215210241), we get a palindrome (16416461461).

The spelling of 14201251220 in words is "fourteen billion, two hundred one million, two hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1009 2018 4036 5045 10090 13117 20180 26234 52468 54133 65585 108266 131170 216532 262340 270665 541330 703729 1082660 1407458 2814916 3518645 7037290 14074580 54620197 109240394 218480788 273100985 546201970 710062561 1092403940 1420125122 2840250244 3550312805 7100625610 14201251220