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301211000220 = 223513386167949
BaseRepresentation
bin1000110001000011001…
…00110001110110011100
31001210110220122012202010
410120201210301312130
514413340004001340
6350212513031220
730522201154254
oct4304144616634
91053426565663
10301211000220
11106819836729
124a462b55510
13225339a4ca0
1410815cd6964
157c7db6db80
hex4621931d9c

301211000220 has 48 divisors (see below), whose sum is σ = 908267018400. Its totient is φ = 74144246016.

The previous prime is 301211000197. The next prime is 301211000243. The reversal of 301211000220 is 22000112103.

It is an interprime number because it is at equal distance from previous prime (301211000197) and next prime (301211000243).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 301211000196 and 301211000205.

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, 193083195 + ... + 193084754.

It is an arithmetic number, because the mean of its divisors is an integer number (18922229550).

Almost surely, 2301211000220 is an apocalyptic number.

301211000220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

301211000220 is an abundant number, since it is smaller than the sum of its proper divisors (607056018180).

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

301211000220 is a wasteful number, since it uses less digits than its factorization.

301211000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386167974 (or 386167972 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 301211000220 its reverse (22000112103), we get a palindrome (323211112323).

The spelling of 301211000220 in words is "three hundred one billion, two hundred eleven million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 386167949 772335898 1158503847 1544671796 1930839745 2317007694 3861679490 4634015388 5020183337 5792519235 7723358980 10040366674 11585038470 15060550011 20080733348 23170076940 25100916685 30121100022 50201833370 60242200044 75302750055 100403666740 150605500110 301211000220