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301301114420 = 22589358147269
BaseRepresentation
bin1000110001001101111…
…00100010011000110100
31001210201012012111012002
410120212330202120310
514414031041130140
6350225452314432
730524344134005
oct4304674423064
91053635174162
10301301114420
11106865695879
124a489172a18
1322549566bb7
1410823c731ac
157c86a1e415
hex4626f22634

301301114420 has 48 divisors (see below), whose sum is σ = 640033909200. Its totient is φ = 119130485760.

The previous prime is 301301114399. The next prime is 301301114483. The reversal of 301301114420 is 24411103103.

It can be written as a sum of positive squares in 8 ways, for example, as 35315429776 + 265985684644 = 187924^2 + 515738^2 .

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 = 301301114392 and 301301114401.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6350546 + ... + 6397814.

It is an arithmetic number, because the mean of its divisors is an integer number (13334039775).

Almost surely, 2301301114420 is an apocalyptic number.

It is an amenable number.

301301114420 is an abundant number, since it is smaller than the sum of its proper divisors (338732794780).

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

301301114420 is a wasteful number, since it uses less digits than its factorization.

301301114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50948 (or 50946 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 301301114420 its reverse (24411103103), we get a palindrome (325712217523).

The spelling of 301301114420 in words is "three hundred one billion, three hundred one million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 3581 7162 14324 17905 35810 47269 71620 94538 189076 236345 318709 472690 637418 945380 1274836 1593545 3187090 4206941 6374180 8413882 16827764 21034705 42069410 84138820 169270289 338540578 677081156 846351445 1692702890 3385405780 15065055721 30130111442 60260222884 75325278605 150650557210 301301114420