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1341221420 = 2257111018623
BaseRepresentation
bin100111111110001…
…0110101000101100
310110110202002220102
41033330112220230
510221323041140
6341031010232
745144123350
oct11774265054
93413662812
101341221420
116290a2560
12315209978
13184b3b756
14ca1b1460
157cb33e15
hex4ff16a2c

1341221420 has 96 divisors (see below), whose sum is σ = 3546740736. Its totient is φ = 413856000.

The previous prime is 1341221383. The next prime is 1341221429. The reversal of 1341221420 is 241221431.

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 = 1341221392 and 1341221401.

It is not an unprimeable number, because it can be changed into a prime (1341221429) 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, 151229 + ... + 159851.

It is an arithmetic number, because the mean of its divisors is an integer number (36945216).

Almost surely, 21341221420 is an apocalyptic number.

1341221420 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 1341221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773370368).

1341221420 is an abundant number, since it is smaller than the sum of its proper divisors (2205519316).

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

1341221420 is a wasteful number, since it uses less digits than its factorization.

1341221420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8751 (or 8749 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1341221420 is about 36622.6899612795. The cubic root of 1341221420 is about 1102.8086407484.

Adding to 1341221420 its reverse (241221431), we get a palindrome (1582442851).

The spelling of 1341221420 in words is "one billion, three hundred forty-one million, two hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 8623 11110 14140 15554 17246 22220 31108 34492 38885 43115 60361 77770 86230 94853 120722 155540 172460 189706 241444 301805 379412 474265 603610 663971 870923 948530 1207220 1327942 1741846 1897060 2655884 3319855 3483692 4354615 6096461 6639710 8709230 9580153 12192922 13279420 17418460 19160306 24385844 30482305 38320612 47900765 60964610 67061071 95801530 121929220 134122142 191603060 268244284 335305355 670610710 1341221420